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Finding the Fourth Proportional to 5,979.86, 8,253.92 and 3,463.68

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Solution

The fourth proportional to 5,979.86, 8,253.92 and 3,463.68 is: 4,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.86 : 8,253.92 = 3,463.68 : x
  2. Step 2: Convert to fraction form
    5,979.86/8,253.92 = 3,463.68/x
  3. Step 3: Cross multiply
    5,979.86x = 8,253.92 × 3,463.68
  4. Step 4: Simplify right side
    5,979.86x = 28,588,937.63
  5. Step 5: Solve for x
    x = 28,588,937.63/5,979.86
  6. Step 6: Final answer
    x = 4,780.87

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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.