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Finding the Fourth Proportional to 5,641.20, 8,427.20 and 4,067.77

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Solution

The fourth proportional to 5,641.20, 8,427.20 and 4,067.77 is: 6,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.20 : 8,427.20 = 4,067.77 : x
  2. Step 2: Convert to fraction form
    5,641.20/8,427.20 = 4,067.77/x
  3. Step 3: Cross multiply
    5,641.20x = 8,427.20 × 4,067.77
  4. Step 4: Simplify right side
    5,641.20x = 34,279,911.34
  5. Step 5: Solve for x
    x = 34,279,911.34/5,641.20
  6. Step 6: Final answer
    x = 6,076.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.