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Finding the Fourth Proportional to 3,897.49, 5,378.65 and 2,129.21

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Solution

The fourth proportional to 3,897.49, 5,378.65 and 2,129.21 is: 2,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.49 : 5,378.65 = 2,129.21 : x
  2. Step 2: Convert to fraction form
    3,897.49/5,378.65 = 2,129.21/x
  3. Step 3: Cross multiply
    3,897.49x = 5,378.65 × 2,129.21
  4. Step 4: Simplify right side
    3,897.49x = 11,452,290.42
  5. Step 5: Solve for x
    x = 11,452,290.42/3,897.49
  6. Step 6: Final answer
    x = 2,938.37

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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.