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Finding the Fourth Proportional to 5,261.75, 7,261.17 and 2,871.70

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Solution

The fourth proportional to 5,261.75, 7,261.17 and 2,871.70 is: 3,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.75 : 7,261.17 = 2,871.70 : x
  2. Step 2: Convert to fraction form
    5,261.75/7,261.17 = 2,871.70/x
  3. Step 3: Cross multiply
    5,261.75x = 7,261.17 × 2,871.70
  4. Step 4: Simplify right side
    5,261.75x = 20,851,872.97
  5. Step 5: Solve for x
    x = 20,851,872.97/5,261.75
  6. Step 6: Final answer
    x = 3,962.92

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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.