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Finding the Fourth Proportional to 3,540.74, 5,311.11 and 1,686.23

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Solution

The fourth proportional to 3,540.74, 5,311.11 and 1,686.23 is: 2,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.74 : 5,311.11 = 1,686.23 : x
  2. Step 2: Convert to fraction form
    3,540.74/5,311.11 = 1,686.23/x
  3. Step 3: Cross multiply
    3,540.74x = 5,311.11 × 1,686.23
  4. Step 4: Simplify right side
    3,540.74x = 8,955,775.04
  5. Step 5: Solve for x
    x = 8,955,775.04/3,540.74
  6. Step 6: Final answer
    x = 2,529.35

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Half scale
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Double scale
Find fourth proportional to 3,541.74, 5,312.61 and 1,687.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.