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Finding the Fourth Proportional to 3,882.80, 5,820.04 and 2,032.04

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Solution

The fourth proportional to 3,882.80, 5,820.04 and 2,032.04 is: 3,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.80 : 5,820.04 = 2,032.04 : x
  2. Step 2: Convert to fraction form
    3,882.80/5,820.04 = 2,032.04/x
  3. Step 3: Cross multiply
    3,882.80x = 5,820.04 × 2,032.04
  4. Step 4: Simplify right side
    3,882.80x = 11,826,554.08
  5. Step 5: Solve for x
    x = 11,826,554.08/3,882.80
  6. Step 6: Final answer
    x = 3,045.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.