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Finding the Fourth Proportional to 5,877.52, 8,815.96 and 2,414.64

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Solution

The fourth proportional to 5,877.52, 8,815.96 and 2,414.64 is: 3,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.52 : 8,815.96 = 2,414.64 : x
  2. Step 2: Convert to fraction form
    5,877.52/8,815.96 = 2,414.64/x
  3. Step 3: Cross multiply
    5,877.52x = 8,815.96 × 2,414.64
  4. Step 4: Simplify right side
    5,877.52x = 21,287,369.65
  5. Step 5: Solve for x
    x = 21,287,369.65/5,877.52
  6. Step 6: Final answer
    x = 3,621.83

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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.