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Finding the Fourth Proportional to 4,764.87, 7,151.92 and 2,301.42

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Solution

The fourth proportional to 4,764.87, 7,151.92 and 2,301.42 is: 3,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.87 : 7,151.92 = 2,301.42 : x
  2. Step 2: Convert to fraction form
    4,764.87/7,151.92 = 2,301.42/x
  3. Step 3: Cross multiply
    4,764.87x = 7,151.92 × 2,301.42
  4. Step 4: Simplify right side
    4,764.87x = 16,459,571.73
  5. Step 5: Solve for x
    x = 16,459,571.73/4,764.87
  6. Step 6: Final answer
    x = 3,454.36

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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.