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Finding the Fourth Proportional to 3,735.80, 5,601.46 and 1,543.24

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Solution

The fourth proportional to 3,735.80, 5,601.46 and 1,543.24 is: 2,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.80 : 5,601.46 = 1,543.24 : x
  2. Step 2: Convert to fraction form
    3,735.80/5,601.46 = 1,543.24/x
  3. Step 3: Cross multiply
    3,735.80x = 5,601.46 × 1,543.24
  4. Step 4: Simplify right side
    3,735.80x = 8,644,397.13
  5. Step 5: Solve for x
    x = 8,644,397.13/3,735.80
  6. Step 6: Final answer
    x = 2,313.93

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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.