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Finding the Fourth Proportional to 5,641.80, 8,460.24 and 4,344.20

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Solution

The fourth proportional to 5,641.80, 8,460.24 and 4,344.20 is: 6,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.80 : 8,460.24 = 4,344.20 : x
  2. Step 2: Convert to fraction form
    5,641.80/8,460.24 = 4,344.20/x
  3. Step 3: Cross multiply
    5,641.80x = 8,460.24 × 4,344.20
  4. Step 4: Simplify right side
    5,641.80x = 36,752,974.61
  5. Step 5: Solve for x
    x = 36,752,974.61/5,641.80
  6. Step 6: Final answer
    x = 6,514.41

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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.