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Finding the Fourth Proportional to 5,251.40, 7,872.24 and 1,962

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Solution

The fourth proportional to 5,251.40, 7,872.24 and 1,962 is: 2,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.40 : 7,872.24 = 1,962 : x
  2. Step 2: Convert to fraction form
    5,251.40/7,872.24 = 1,962/x
  3. Step 3: Cross multiply
    5,251.40x = 7,872.24 × 1,962
  4. Step 4: Simplify right side
    5,251.40x = 15,445,334.88
  5. Step 5: Solve for x
    x = 15,445,334.88/5,251.40
  6. Step 6: Final answer
    x = 2,941.18

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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.