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Finding the Fourth Proportional to 5,024.80, 7,539.04 and 2,428

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Solution

The fourth proportional to 5,024.80, 7,539.04 and 2,428 is: 3,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.80 : 7,539.04 = 2,428 : x
  2. Step 2: Convert to fraction form
    5,024.80/7,539.04 = 2,428/x
  3. Step 3: Cross multiply
    5,024.80x = 7,539.04 × 2,428
  4. Step 4: Simplify right side
    5,024.80x = 18,304,789.12
  5. Step 5: Solve for x
    x = 18,304,789.12/5,024.80
  6. Step 6: Final answer
    x = 3,642.89

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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.