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Finding the Fourth Proportional to 3,326.54, 4,989.39 and 861.15

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Solution

The fourth proportional to 3,326.54, 4,989.39 and 861.15 is: 1,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.54 : 4,989.39 = 861.15 : x
  2. Step 2: Convert to fraction form
    3,326.54/4,989.39 = 861.15/x
  3. Step 3: Cross multiply
    3,326.54x = 4,989.39 × 861.15
  4. Step 4: Simplify right side
    3,326.54x = 4,296,613.20
  5. Step 5: Solve for x
    x = 4,296,613.20/3,326.54
  6. Step 6: Final answer
    x = 1,291.62

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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.