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Finding the Fourth Proportional to 3,853.98, 5,318.38 and 2,175.44

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Solution

The fourth proportional to 3,853.98, 5,318.38 and 2,175.44 is: 3,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.98 : 5,318.38 = 2,175.44 : x
  2. Step 2: Convert to fraction form
    3,853.98/5,318.38 = 2,175.44/x
  3. Step 3: Cross multiply
    3,853.98x = 5,318.38 × 2,175.44
  4. Step 4: Simplify right side
    3,853.98x = 11,569,816.59
  5. Step 5: Solve for x
    x = 11,569,816.59/3,853.98
  6. Step 6: Final answer
    x = 3,002.04

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Why These Related Problems?

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