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Finding the Fourth Proportional to 3,744.60, 5,616.90 and 3,706.20

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Solution

The fourth proportional to 3,744.60, 5,616.90 and 3,706.20 is: 5,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.60 : 5,616.90 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    3,744.60/5,616.90 = 3,706.20/x
  3. Step 3: Cross multiply
    3,744.60x = 5,616.90 × 3,706.20
  4. Step 4: Simplify right side
    3,744.60x = 20,817,354.78
  5. Step 5: Solve for x
    x = 20,817,354.78/3,744.60
  6. Step 6: Final answer
    x = 5,559.30

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