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Finding the Fourth Proportional to 4,766.92, 7,150.10 and 1,479.92

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Solution

The fourth proportional to 4,766.92, 7,150.10 and 1,479.92 is: 2,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.92 : 7,150.10 = 1,479.92 : x
  2. Step 2: Convert to fraction form
    4,766.92/7,150.10 = 1,479.92/x
  3. Step 3: Cross multiply
    4,766.92x = 7,150.10 × 1,479.92
  4. Step 4: Simplify right side
    4,766.92x = 10,581,575.99
  5. Step 5: Solve for x
    x = 10,581,575.99/4,766.92
  6. Step 6: Final answer
    x = 2,219.79

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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.