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Finding the Fourth Proportional to 4,167.72, 5,765.04 and 3,922.92

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Solution

The fourth proportional to 4,167.72, 5,765.04 and 3,922.92 is: 5,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.72 : 5,765.04 = 3,922.92 : x
  2. Step 2: Convert to fraction form
    4,167.72/5,765.04 = 3,922.92/x
  3. Step 3: Cross multiply
    4,167.72x = 5,765.04 × 3,922.92
  4. Step 4: Simplify right side
    4,167.72x = 22,615,790.72
  5. Step 5: Solve for x
    x = 22,615,790.72/4,167.72
  6. Step 6: Final answer
    x = 5,426.42

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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.