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Finding the Fourth Proportional to 5,147.52, 7,097.09 and 4,202.35

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Solution

The fourth proportional to 5,147.52, 7,097.09 and 4,202.35 is: 5,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.52 : 7,097.09 = 4,202.35 : x
  2. Step 2: Convert to fraction form
    5,147.52/7,097.09 = 4,202.35/x
  3. Step 3: Cross multiply
    5,147.52x = 7,097.09 × 4,202.35
  4. Step 4: Simplify right side
    5,147.52x = 29,824,456.16
  5. Step 5: Solve for x
    x = 29,824,456.16/5,147.52
  6. Step 6: Final answer
    x = 5,793.95

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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.