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Finding the Fourth Proportional to 5,464.62, 8,195.19 and 1,765.97

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Solution

The fourth proportional to 5,464.62, 8,195.19 and 1,765.97 is: 2,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.62 : 8,195.19 = 1,765.97 : x
  2. Step 2: Convert to fraction form
    5,464.62/8,195.19 = 1,765.97/x
  3. Step 3: Cross multiply
    5,464.62x = 8,195.19 × 1,765.97
  4. Step 4: Simplify right side
    5,464.62x = 14,472,418.71
  5. Step 5: Solve for x
    x = 14,472,418.71/5,464.62
  6. Step 6: Final answer
    x = 2,648.39

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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.