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Finding the Fourth Proportional to 3,593.59, 5,388.56 and 1,644.13

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Solution

The fourth proportional to 3,593.59, 5,388.56 and 1,644.13 is: 2,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.59 : 5,388.56 = 1,644.13 : x
  2. Step 2: Convert to fraction form
    3,593.59/5,388.56 = 1,644.13/x
  3. Step 3: Cross multiply
    3,593.59x = 5,388.56 × 1,644.13
  4. Step 4: Simplify right side
    3,593.59x = 8,859,493.15
  5. Step 5: Solve for x
    x = 8,859,493.15/3,593.59
  6. Step 6: Final answer
    x = 2,465.36

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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.