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Finding the Fourth Proportional to 6,185.90, 9,282.10 and 2,488.52

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Solution

The fourth proportional to 6,185.90, 9,282.10 and 2,488.52 is: 3,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.90 : 9,282.10 = 2,488.52 : x
  2. Step 2: Convert to fraction form
    6,185.90/9,282.10 = 2,488.52/x
  3. Step 3: Cross multiply
    6,185.90x = 9,282.10 × 2,488.52
  4. Step 4: Simplify right side
    6,185.90x = 23,098,691.49
  5. Step 5: Solve for x
    x = 23,098,691.49/6,185.90
  6. Step 6: Final answer
    x = 3,734.09

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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.