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Finding the Fourth Proportional to 4,161.92, 5,743.88 and 4,032.86

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Solution

The fourth proportional to 4,161.92, 5,743.88 and 4,032.86 is: 5,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.92 : 5,743.88 = 4,032.86 : x
  2. Step 2: Convert to fraction form
    4,161.92/5,743.88 = 4,032.86/x
  3. Step 3: Cross multiply
    4,161.92x = 5,743.88 × 4,032.86
  4. Step 4: Simplify right side
    4,161.92x = 23,164,263.90
  5. Step 5: Solve for x
    x = 23,164,263.90/4,161.92
  6. Step 6: Final answer
    x = 5,565.76

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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.