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Finding the Fourth Proportional to 3,711.89, 5,122.21 and 2,032.98

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Solution

The fourth proportional to 3,711.89, 5,122.21 and 2,032.98 is: 2,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.89 : 5,122.21 = 2,032.98 : x
  2. Step 2: Convert to fraction form
    3,711.89/5,122.21 = 2,032.98/x
  3. Step 3: Cross multiply
    3,711.89x = 5,122.21 × 2,032.98
  4. Step 4: Simplify right side
    3,711.89x = 10,413,326.20
  5. Step 5: Solve for x
    x = 10,413,326.20/3,711.89
  6. Step 6: Final answer
    x = 2,805.40

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Why These Related Problems?

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