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Finding the Fourth Proportional to 5,139.32, 7,711.68 and 2,801

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Solution

The fourth proportional to 5,139.32, 7,711.68 and 2,801 is: 4,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.32 : 7,711.68 = 2,801 : x
  2. Step 2: Convert to fraction form
    5,139.32/7,711.68 = 2,801/x
  3. Step 3: Cross multiply
    5,139.32x = 7,711.68 × 2,801
  4. Step 4: Simplify right side
    5,139.32x = 21,600,415.68
  5. Step 5: Solve for x
    x = 21,600,415.68/5,139.32
  6. Step 6: Final answer
    x = 4,202.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.