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Finding the Fourth Proportional to 4,032.44, 5,565.42 and 2,772.44

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Solution

The fourth proportional to 4,032.44, 5,565.42 and 2,772.44 is: 3,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.44 : 5,565.42 = 2,772.44 : x
  2. Step 2: Convert to fraction form
    4,032.44/5,565.42 = 2,772.44/x
  3. Step 3: Cross multiply
    4,032.44x = 5,565.42 × 2,772.44
  4. Step 4: Simplify right side
    4,032.44x = 15,429,793.02
  5. Step 5: Solve for x
    x = 15,429,793.02/4,032.44
  6. Step 6: Final answer
    x = 3,826.42

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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.