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Finding the Fourth Proportional to 4,123.96, 5,687.88 and 2,865

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Solution

The fourth proportional to 4,123.96, 5,687.88 and 2,865 is: 3,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.96 : 5,687.88 = 2,865 : x
  2. Step 2: Convert to fraction form
    4,123.96/5,687.88 = 2,865/x
  3. Step 3: Cross multiply
    4,123.96x = 5,687.88 × 2,865
  4. Step 4: Simplify right side
    4,123.96x = 16,295,776.20
  5. Step 5: Solve for x
    x = 16,295,776.20/4,123.96
  6. Step 6: Final answer
    x = 3,951.49

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