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Finding the Fourth Proportional to 3,853.91, 5,318.10 and 2,175.49

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Solution

The fourth proportional to 3,853.91, 5,318.10 and 2,175.49 is: 3,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.91 : 5,318.10 = 2,175.49 : x
  2. Step 2: Convert to fraction form
    3,853.91/5,318.10 = 2,175.49/x
  3. Step 3: Cross multiply
    3,853.91x = 5,318.10 × 2,175.49
  4. Step 4: Simplify right side
    3,853.91x = 11,569,446.78
  5. Step 5: Solve for x
    x = 11,569,446.78/3,853.91
  6. Step 6: Final answer
    x = 3,002.00

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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.