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Finding the Fourth Proportional to 5,098.88, 7,645.24 and 2,287.20

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Solution

The fourth proportional to 5,098.88, 7,645.24 and 2,287.20 is: 3,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.88 : 7,645.24 = 2,287.20 : x
  2. Step 2: Convert to fraction form
    5,098.88/7,645.24 = 2,287.20/x
  3. Step 3: Cross multiply
    5,098.88x = 7,645.24 × 2,287.20
  4. Step 4: Simplify right side
    5,098.88x = 17,486,195.79
  5. Step 5: Solve for x
    x = 17,486,195.79/5,098.88
  6. Step 6: Final answer
    x = 3,429.42

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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.