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Finding the Fourth Proportional to 5,107.76, 7,049.34 and 2,869.73

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Solution

The fourth proportional to 5,107.76, 7,049.34 and 2,869.73 is: 3,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.76 : 7,049.34 = 2,869.73 : x
  2. Step 2: Convert to fraction form
    5,107.76/7,049.34 = 2,869.73/x
  3. Step 3: Cross multiply
    5,107.76x = 7,049.34 × 2,869.73
  4. Step 4: Simplify right side
    5,107.76x = 20,229,688.13
  5. Step 5: Solve for x
    x = 20,229,688.13/5,107.76
  6. Step 6: Final answer
    x = 3,960.58

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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.