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Finding the Fourth Proportional to 3,761.43, 5,643.09 and 1,569.03

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Solution

The fourth proportional to 3,761.43, 5,643.09 and 1,569.03 is: 2,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.43 : 5,643.09 = 1,569.03 : x
  2. Step 2: Convert to fraction form
    3,761.43/5,643.09 = 1,569.03/x
  3. Step 3: Cross multiply
    3,761.43x = 5,643.09 × 1,569.03
  4. Step 4: Simplify right side
    3,761.43x = 8,854,177.50
  5. Step 5: Solve for x
    x = 8,854,177.50/3,761.43
  6. Step 6: Final answer
    x = 2,353.94

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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.