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Finding the Fourth Proportional to 3,632.70, 5,012.49 and 2,140.92

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Solution

The fourth proportional to 3,632.70, 5,012.49 and 2,140.92 is: 2,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.70 : 5,012.49 = 2,140.92 : x
  2. Step 2: Convert to fraction form
    3,632.70/5,012.49 = 2,140.92/x
  3. Step 3: Cross multiply
    3,632.70x = 5,012.49 × 2,140.92
  4. Step 4: Simplify right side
    3,632.70x = 10,731,340.09
  5. Step 5: Solve for x
    x = 10,731,340.09/3,632.70
  6. Step 6: Final answer
    x = 2,954.09

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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.