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Finding the Fourth Proportional to 5,743.91, 8,616.78 and 2,779.62

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Solution

The fourth proportional to 5,743.91, 8,616.78 and 2,779.62 is: 4,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.91 : 8,616.78 = 2,779.62 : x
  2. Step 2: Convert to fraction form
    5,743.91/8,616.78 = 2,779.62/x
  3. Step 3: Cross multiply
    5,743.91x = 8,616.78 × 2,779.62
  4. Step 4: Simplify right side
    5,743.91x = 23,951,341.71
  5. Step 5: Solve for x
    x = 23,951,341.71/5,743.91
  6. Step 6: Final answer
    x = 4,169.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.