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Finding the Fourth Proportional to 3,711.52, 5,121.70 and 2,032.59

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Solution

The fourth proportional to 3,711.52, 5,121.70 and 2,032.59 is: 2,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.52 : 5,121.70 = 2,032.59 : x
  2. Step 2: Convert to fraction form
    3,711.52/5,121.70 = 2,032.59/x
  3. Step 3: Cross multiply
    3,711.52x = 5,121.70 × 2,032.59
  4. Step 4: Simplify right side
    3,711.52x = 10,410,330.33
  5. Step 5: Solve for x
    x = 10,410,330.33/3,711.52
  6. Step 6: Final answer
    x = 2,804.87

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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.