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Finding the Fourth Proportional to 3,897.88, 5,379 and 2,129.48

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Solution

The fourth proportional to 3,897.88, 5,379 and 2,129.48 is: 2,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.88 : 5,379 = 2,129.48 : x
  2. Step 2: Convert to fraction form
    3,897.88/5,379 = 2,129.48/x
  3. Step 3: Cross multiply
    3,897.88x = 5,379 × 2,129.48
  4. Step 4: Simplify right side
    3,897.88x = 11,454,472.92
  5. Step 5: Solve for x
    x = 11,454,472.92/3,897.88
  6. Step 6: Final answer
    x = 2,938.64

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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.