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Finding the Fourth Proportional to 3,652.96, 5,030.46 and 3,174.19

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Solution

The fourth proportional to 3,652.96, 5,030.46 and 3,174.19 is: 4,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.96 : 5,030.46 = 3,174.19 : x
  2. Step 2: Convert to fraction form
    3,652.96/5,030.46 = 3,174.19/x
  3. Step 3: Cross multiply
    3,652.96x = 5,030.46 × 3,174.19
  4. Step 4: Simplify right side
    3,652.96x = 15,967,635.83
  5. Step 5: Solve for x
    x = 15,967,635.83/3,652.96
  6. Step 6: Final answer
    x = 4,371.15

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.