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Finding the Fourth Proportional to 3,715.56, 5,570.10 and 3,171.24

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Solution

The fourth proportional to 3,715.56, 5,570.10 and 3,171.24 is: 4,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.56 : 5,570.10 = 3,171.24 : x
  2. Step 2: Convert to fraction form
    3,715.56/5,570.10 = 3,171.24/x
  3. Step 3: Cross multiply
    3,715.56x = 5,570.10 × 3,171.24
  4. Step 4: Simplify right side
    3,715.56x = 17,664,123.92
  5. Step 5: Solve for x
    x = 17,664,123.92/3,715.56
  6. Step 6: Final answer
    x = 4,754.09

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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.