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Finding the Fourth Proportional to 3,897.42, 5,378.50 and 2,129.29

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Solution

The fourth proportional to 3,897.42, 5,378.50 and 2,129.29 is: 2,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.42 : 5,378.50 = 2,129.29 : x
  2. Step 2: Convert to fraction form
    3,897.42/5,378.50 = 2,129.29/x
  3. Step 3: Cross multiply
    3,897.42x = 5,378.50 × 2,129.29
  4. Step 4: Simplify right side
    3,897.42x = 11,452,375.48
  5. Step 5: Solve for x
    x = 11,452,375.48/3,897.42
  6. Step 6: Final answer
    x = 2,938.45

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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.