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Finding the Fourth Proportional to 6,077.57, 8,387.08 and 3,981.69

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Solution

The fourth proportional to 6,077.57, 8,387.08 and 3,981.69 is: 5,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.57 : 8,387.08 = 3,981.69 : x
  2. Step 2: Convert to fraction form
    6,077.57/8,387.08 = 3,981.69/x
  3. Step 3: Cross multiply
    6,077.57x = 8,387.08 × 3,981.69
  4. Step 4: Simplify right side
    6,077.57x = 33,394,742.61
  5. Step 5: Solve for x
    x = 33,394,742.61/6,077.57
  6. Step 6: Final answer
    x = 5,494.76

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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.