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Finding the Fourth Proportional to 4,766, 7,149.92 and 2,302.52

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Solution

The fourth proportional to 4,766, 7,149.92 and 2,302.52 is: 3,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766 : 7,149.92 = 2,302.52 : x
  2. Step 2: Convert to fraction form
    4,766/7,149.92 = 2,302.52/x
  3. Step 3: Cross multiply
    4,766x = 7,149.92 × 2,302.52
  4. Step 4: Simplify right side
    4,766x = 16,462,833.80
  5. Step 5: Solve for x
    x = 16,462,833.80/4,766
  6. Step 6: Final answer
    x = 3,454.22

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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.