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Finding the Fourth Proportional to 3,418.12, 5,120.28 and 3,241

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Solution

The fourth proportional to 3,418.12, 5,120.28 and 3,241 is: 4,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.12 : 5,120.28 = 3,241 : x
  2. Step 2: Convert to fraction form
    3,418.12/5,120.28 = 3,241/x
  3. Step 3: Cross multiply
    3,418.12x = 5,120.28 × 3,241
  4. Step 4: Simplify right side
    3,418.12x = 16,594,827.48
  5. Step 5: Solve for x
    x = 16,594,827.48/3,418.12
  6. Step 6: Final answer
    x = 4,854.96

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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.