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Finding the Fourth Proportional to 6,078.80, 8,387.88 and 4,311.92

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Solution

The fourth proportional to 6,078.80, 8,387.88 and 4,311.92 is: 5,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.80 : 8,387.88 = 4,311.92 : x
  2. Step 2: Convert to fraction form
    6,078.80/8,387.88 = 4,311.92/x
  3. Step 3: Cross multiply
    6,078.80x = 8,387.88 × 4,311.92
  4. Step 4: Simplify right side
    6,078.80x = 36,167,867.53
  5. Step 5: Solve for x
    x = 36,167,867.53/6,078.80
  6. Step 6: Final answer
    x = 5,949.84

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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.