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Finding the Fourth Proportional to 5,641.38, 8,467.56 and 3,454.38

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Solution

The fourth proportional to 5,641.38, 8,467.56 and 3,454.38 is: 5,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.38 : 8,467.56 = 3,454.38 : x
  2. Step 2: Convert to fraction form
    5,641.38/8,467.56 = 3,454.38/x
  3. Step 3: Cross multiply
    5,641.38x = 8,467.56 × 3,454.38
  4. Step 4: Simplify right side
    5,641.38x = 29,250,169.91
  5. Step 5: Solve for x
    x = 29,250,169.91/5,641.38
  6. Step 6: Final answer
    x = 5,184.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.