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Finding the Fourth Proportional to 5,267.16, 7,900.21 and 1,371.57

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Solution

The fourth proportional to 5,267.16, 7,900.21 and 1,371.57 is: 2,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.16 : 7,900.21 = 1,371.57 : x
  2. Step 2: Convert to fraction form
    5,267.16/7,900.21 = 1,371.57/x
  3. Step 3: Cross multiply
    5,267.16x = 7,900.21 × 1,371.57
  4. Step 4: Simplify right side
    5,267.16x = 10,835,691.03
  5. Step 5: Solve for x
    x = 10,835,691.03/5,267.16
  6. Step 6: Final answer
    x = 2,057.22

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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.