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Finding the Fourth Proportional to 6,689.40, 10,033.84 and 3,181.92

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Solution

The fourth proportional to 6,689.40, 10,033.84 and 3,181.92 is: 4,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.40 : 10,033.84 = 3,181.92 : x
  2. Step 2: Convert to fraction form
    6,689.40/10,033.84 = 3,181.92/x
  3. Step 3: Cross multiply
    6,689.40x = 10,033.84 × 3,181.92
  4. Step 4: Simplify right side
    6,689.40x = 31,926,876.17
  5. Step 5: Solve for x
    x = 31,926,876.17/6,689.40
  6. Step 6: Final answer
    x = 4,772.76

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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.