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Finding the Fourth Proportional to 4,092, 5,646.96 and 2,229.12

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Solution

The fourth proportional to 4,092, 5,646.96 and 2,229.12 is: 3,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 5,646.96 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    4,092/5,646.96 = 2,229.12/x
  3. Step 3: Cross multiply
    4,092x = 5,646.96 × 2,229.12
  4. Step 4: Simplify right side
    4,092x = 12,587,751.48
  5. Step 5: Solve for x
    x = 12,587,751.48/4,092
  6. Step 6: Final answer
    x = 3,076.19

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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.