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Finding the Fourth Proportional to 3,625.60, 5,432.10 and 1,673.80

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Solution

The fourth proportional to 3,625.60, 5,432.10 and 1,673.80 is: 2,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.60 : 5,432.10 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    3,625.60/5,432.10 = 1,673.80/x
  3. Step 3: Cross multiply
    3,625.60x = 5,432.10 × 1,673.80
  4. Step 4: Simplify right side
    3,625.60x = 9,092,248.98
  5. Step 5: Solve for x
    x = 9,092,248.98/3,625.60
  6. Step 6: Final answer
    x = 2,507.79

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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.