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Finding the Fourth Proportional to 3,882.85, 5,824.25 and 1,109.52

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Solution

The fourth proportional to 3,882.85, 5,824.25 and 1,109.52 is: 1,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.85 : 5,824.25 = 1,109.52 : x
  2. Step 2: Convert to fraction form
    3,882.85/5,824.25 = 1,109.52/x
  3. Step 3: Cross multiply
    3,882.85x = 5,824.25 × 1,109.52
  4. Step 4: Simplify right side
    3,882.85x = 6,462,116.31
  5. Step 5: Solve for x
    x = 6,462,116.31/3,882.85
  6. Step 6: Final answer
    x = 1,664.27

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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.