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Finding the Fourth Proportional to 6,169.77, 8,514.45 and 3,517.83

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Solution

The fourth proportional to 6,169.77, 8,514.45 and 3,517.83 is: 4,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.77 : 8,514.45 = 3,517.83 : x
  2. Step 2: Convert to fraction form
    6,169.77/8,514.45 = 3,517.83/x
  3. Step 3: Cross multiply
    6,169.77x = 8,514.45 × 3,517.83
  4. Step 4: Simplify right side
    6,169.77x = 29,952,387.64
  5. Step 5: Solve for x
    x = 29,952,387.64/6,169.77
  6. Step 6: Final answer
    x = 4,854.70

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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.