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Finding the Fourth Proportional to 5,251.79, 7,872.82 and 1,962.38

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Solution

The fourth proportional to 5,251.79, 7,872.82 and 1,962.38 is: 2,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.79 : 7,872.82 = 1,962.38 : x
  2. Step 2: Convert to fraction form
    5,251.79/7,872.82 = 1,962.38/x
  3. Step 3: Cross multiply
    5,251.79x = 7,872.82 × 1,962.38
  4. Step 4: Simplify right side
    5,251.79x = 15,449,459.61
  5. Step 5: Solve for x
    x = 15,449,459.61/5,251.79
  6. Step 6: Final answer
    x = 2,941.75

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Why These Related Problems?

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