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Finding the Fourth Proportional to 5,251.40, 7,872.24 and 2,651.32

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Solution

The fourth proportional to 5,251.40, 7,872.24 and 2,651.32 is: 3,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.40 : 7,872.24 = 2,651.32 : x
  2. Step 2: Convert to fraction form
    5,251.40/7,872.24 = 2,651.32/x
  3. Step 3: Cross multiply
    5,251.40x = 7,872.24 × 2,651.32
  4. Step 4: Simplify right side
    5,251.40x = 20,871,827.36
  5. Step 5: Solve for x
    x = 20,871,827.36/5,251.40
  6. Step 6: Final answer
    x = 3,974.53

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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.