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Finding the Fourth Proportional to 3,853.75, 5,318.90 and 2,197.75

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Solution

The fourth proportional to 3,853.75, 5,318.90 and 2,197.75 is: 3,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.75 : 5,318.90 = 2,197.75 : x
  2. Step 2: Convert to fraction form
    3,853.75/5,318.90 = 2,197.75/x
  3. Step 3: Cross multiply
    3,853.75x = 5,318.90 × 2,197.75
  4. Step 4: Simplify right side
    3,853.75x = 11,689,612.48
  5. Step 5: Solve for x
    x = 11,689,612.48/3,853.75
  6. Step 6: Final answer
    x = 3,033.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.