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Finding the Fourth Proportional to 6,097.50, 8,414.52 and 3,444.84

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Solution

The fourth proportional to 6,097.50, 8,414.52 and 3,444.84 is: 4,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.50 : 8,414.52 = 3,444.84 : x
  2. Step 2: Convert to fraction form
    6,097.50/8,414.52 = 3,444.84/x
  3. Step 3: Cross multiply
    6,097.50x = 8,414.52 × 3,444.84
  4. Step 4: Simplify right side
    6,097.50x = 28,986,675.08
  5. Step 5: Solve for x
    x = 28,986,675.08/6,097.50
  6. Step 6: Final answer
    x = 4,753.86

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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.