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Finding the Fourth Proportional to 5,471.90, 8,207.85 and 3,722.30

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Solution

The fourth proportional to 5,471.90, 8,207.85 and 3,722.30 is: 5,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.90 : 8,207.85 = 3,722.30 : x
  2. Step 2: Convert to fraction form
    5,471.90/8,207.85 = 3,722.30/x
  3. Step 3: Cross multiply
    5,471.90x = 8,207.85 × 3,722.30
  4. Step 4: Simplify right side
    5,471.90x = 30,552,080.06
  5. Step 5: Solve for x
    x = 30,552,080.06/5,471.90
  6. Step 6: Final answer
    x = 5,583.45

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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.