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Finding the Fourth Proportional to 6,593.90, 9,898.95 and 3,634.70

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Solution

The fourth proportional to 6,593.90, 9,898.95 and 3,634.70 is: 5,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.90 : 9,898.95 = 3,634.70 : x
  2. Step 2: Convert to fraction form
    6,593.90/9,898.95 = 3,634.70/x
  3. Step 3: Cross multiply
    6,593.90x = 9,898.95 × 3,634.70
  4. Step 4: Simplify right side
    6,593.90x = 35,979,713.57
  5. Step 5: Solve for x
    x = 35,979,713.57/6,593.90
  6. Step 6: Final answer
    x = 5,456.51

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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.