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Finding the Fourth Proportional to 3,387.68, 5,078.06 and 1,306.87

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Solution

The fourth proportional to 3,387.68, 5,078.06 and 1,306.87 is: 1,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.68 : 5,078.06 = 1,306.87 : x
  2. Step 2: Convert to fraction form
    3,387.68/5,078.06 = 1,306.87/x
  3. Step 3: Cross multiply
    3,387.68x = 5,078.06 × 1,306.87
  4. Step 4: Simplify right side
    3,387.68x = 6,636,364.27
  5. Step 5: Solve for x
    x = 6,636,364.27/3,387.68
  6. Step 6: Final answer
    x = 1,958.97

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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.