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Finding the Fourth Proportional to 3,753.60, 5,629.20 and 1,561.80

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Solution

The fourth proportional to 3,753.60, 5,629.20 and 1,561.80 is: 2,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.60 : 5,629.20 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    3,753.60/5,629.20 = 1,561.80/x
  3. Step 3: Cross multiply
    3,753.60x = 5,629.20 × 1,561.80
  4. Step 4: Simplify right side
    3,753.60x = 8,791,684.56
  5. Step 5: Solve for x
    x = 8,791,684.56/3,753.60
  6. Step 6: Final answer
    x = 2,342.20

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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.