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Finding the Fourth Proportional to 3,444.67, 5,160.07 and 1,593.24

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Solution

The fourth proportional to 3,444.67, 5,160.07 and 1,593.24 is: 2,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.67 : 5,160.07 = 1,593.24 : x
  2. Step 2: Convert to fraction form
    3,444.67/5,160.07 = 1,593.24/x
  3. Step 3: Cross multiply
    3,444.67x = 5,160.07 × 1,593.24
  4. Step 4: Simplify right side
    3,444.67x = 8,221,229.93
  5. Step 5: Solve for x
    x = 8,221,229.93/3,444.67
  6. Step 6: Final answer
    x = 2,386.65

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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.