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Finding the Fourth Proportional to 6,097.24, 8,414.52 and 3,444.76

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Solution

The fourth proportional to 6,097.24, 8,414.52 and 3,444.76 is: 4,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.24 : 8,414.52 = 3,444.76 : x
  2. Step 2: Convert to fraction form
    6,097.24/8,414.52 = 3,444.76/x
  3. Step 3: Cross multiply
    6,097.24x = 8,414.52 × 3,444.76
  4. Step 4: Simplify right side
    6,097.24x = 28,986,001.92
  5. Step 5: Solve for x
    x = 28,986,001.92/6,097.24
  6. Step 6: Final answer
    x = 4,753.95

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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.