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Finding the Fourth Proportional to 4,220.30, 5,781.72 and 4,062.54

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Solution

The fourth proportional to 4,220.30, 5,781.72 and 4,062.54 is: 5,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.30 : 5,781.72 = 4,062.54 : x
  2. Step 2: Convert to fraction form
    4,220.30/5,781.72 = 4,062.54/x
  3. Step 3: Cross multiply
    4,220.30x = 5,781.72 × 4,062.54
  4. Step 4: Simplify right side
    4,220.30x = 23,488,468.77
  5. Step 5: Solve for x
    x = 23,488,468.77/4,220.30
  6. Step 6: Final answer
    x = 5,565.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.