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Finding the Fourth Proportional to 3,592.26, 5,390.20 and 1,644.92

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Solution

The fourth proportional to 3,592.26, 5,390.20 and 1,644.92 is: 2,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.26 : 5,390.20 = 1,644.92 : x
  2. Step 2: Convert to fraction form
    3,592.26/5,390.20 = 1,644.92/x
  3. Step 3: Cross multiply
    3,592.26x = 5,390.20 × 1,644.92
  4. Step 4: Simplify right side
    3,592.26x = 8,866,447.78
  5. Step 5: Solve for x
    x = 8,866,447.78/3,592.26
  6. Step 6: Final answer
    x = 2,468.21

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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.