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Finding the Fourth Proportional to 3,711.80, 5,122.07 and 2,032.88

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Solution

The fourth proportional to 3,711.80, 5,122.07 and 2,032.88 is: 2,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.80 : 5,122.07 = 2,032.88 : x
  2. Step 2: Convert to fraction form
    3,711.80/5,122.07 = 2,032.88/x
  3. Step 3: Cross multiply
    3,711.80x = 5,122.07 × 2,032.88
  4. Step 4: Simplify right side
    3,711.80x = 10,412,525.51
  5. Step 5: Solve for x
    x = 10,412,525.51/3,711.80
  6. Step 6: Final answer
    x = 2,805.25

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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.