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Finding the Fourth Proportional to 3,712.44, 5,121.68 and 2,140.22

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Solution

The fourth proportional to 3,712.44, 5,121.68 and 2,140.22 is: 2,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.44 : 5,121.68 = 2,140.22 : x
  2. Step 2: Convert to fraction form
    3,712.44/5,121.68 = 2,140.22/x
  3. Step 3: Cross multiply
    3,712.44x = 5,121.68 × 2,140.22
  4. Step 4: Simplify right side
    3,712.44x = 10,961,521.97
  5. Step 5: Solve for x
    x = 10,961,521.97/3,712.44
  6. Step 6: Final answer
    x = 2,952.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.