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Finding the Fourth Proportional to 3,853.56, 5,318.00 and 2,174.87

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Solution

The fourth proportional to 3,853.56, 5,318.00 and 2,174.87 is: 3,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.56 : 5,318.00 = 2,174.87 : x
  2. Step 2: Convert to fraction form
    3,853.56/5,318.00 = 2,174.87/x
  3. Step 3: Cross multiply
    3,853.56x = 5,318.00 × 2,174.87
  4. Step 4: Simplify right side
    3,853.56x = 11,565,949.01
  5. Step 5: Solve for x
    x = 11,565,949.01/3,853.56
  6. Step 6: Final answer
    x = 3,001.37

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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.