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Finding the Fourth Proportional to 3,897.96, 5,379.18 and 2,129.56

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Solution

The fourth proportional to 3,897.96, 5,379.18 and 2,129.56 is: 2,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.96 : 5,379.18 = 2,129.56 : x
  2. Step 2: Convert to fraction form
    3,897.96/5,379.18 = 2,129.56/x
  3. Step 3: Cross multiply
    3,897.96x = 5,379.18 × 2,129.56
  4. Step 4: Simplify right side
    3,897.96x = 11,455,285.30
  5. Step 5: Solve for x
    x = 11,455,285.30/3,897.96
  6. Step 6: Final answer
    x = 2,938.79

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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.