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Finding the Fourth Proportional to 5,714.85, 8,565.42 and 2,942.83

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Solution

The fourth proportional to 5,714.85, 8,565.42 and 2,942.83 is: 4,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.85 : 8,565.42 = 2,942.83 : x
  2. Step 2: Convert to fraction form
    5,714.85/8,565.42 = 2,942.83/x
  3. Step 3: Cross multiply
    5,714.85x = 8,565.42 × 2,942.83
  4. Step 4: Simplify right side
    5,714.85x = 25,206,532.11
  5. Step 5: Solve for x
    x = 25,206,532.11/5,714.85
  6. Step 6: Final answer
    x = 4,410.71

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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.