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Finding the Fourth Proportional to 3,715.72, 5,574.10 and 1,251.24

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Solution

The fourth proportional to 3,715.72, 5,574.10 and 1,251.24 is: 1,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.72 : 5,574.10 = 1,251.24 : x
  2. Step 2: Convert to fraction form
    3,715.72/5,574.10 = 1,251.24/x
  3. Step 3: Cross multiply
    3,715.72x = 5,574.10 × 1,251.24
  4. Step 4: Simplify right side
    3,715.72x = 6,974,536.88
  5. Step 5: Solve for x
    x = 6,974,536.88/3,715.72
  6. Step 6: Final answer
    x = 1,877.04

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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.