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Finding the Fourth Proportional to 5,098.52, 7,035.72 and 3,002.24

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Solution

The fourth proportional to 5,098.52, 7,035.72 and 3,002.24 is: 4,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.52 : 7,035.72 = 3,002.24 : x
  2. Step 2: Convert to fraction form
    5,098.52/7,035.72 = 3,002.24/x
  3. Step 3: Cross multiply
    5,098.52x = 7,035.72 × 3,002.24
  4. Step 4: Simplify right side
    5,098.52x = 21,122,920.01
  5. Step 5: Solve for x
    x = 21,122,920.01/5,098.52
  6. Step 6: Final answer
    x = 4,142.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.