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Finding the Fourth Proportional to 5,052.68, 6,951.12 and 3,871.70

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Solution

The fourth proportional to 5,052.68, 6,951.12 and 3,871.70 is: 5,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.68 : 6,951.12 = 3,871.70 : x
  2. Step 2: Convert to fraction form
    5,052.68/6,951.12 = 3,871.70/x
  3. Step 3: Cross multiply
    5,052.68x = 6,951.12 × 3,871.70
  4. Step 4: Simplify right side
    5,052.68x = 26,912,651.30
  5. Step 5: Solve for x
    x = 26,912,651.30/5,052.68
  6. Step 6: Final answer
    x = 5,326.41

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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.