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Finding the Fourth Proportional to 4,177.57, 5,764.80 and 2,288.78

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Solution

The fourth proportional to 4,177.57, 5,764.80 and 2,288.78 is: 3,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.57 : 5,764.80 = 2,288.78 : x
  2. Step 2: Convert to fraction form
    4,177.57/5,764.80 = 2,288.78/x
  3. Step 3: Cross multiply
    4,177.57x = 5,764.80 × 2,288.78
  4. Step 4: Simplify right side
    4,177.57x = 13,194,337.73
  5. Step 5: Solve for x
    x = 13,194,337.73/4,177.57
  6. Step 6: Final answer
    x = 3,158.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.