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Finding the Fourth Proportional to 3,897.44, 5,378.56 and 2,129.20

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Solution

The fourth proportional to 3,897.44, 5,378.56 and 2,129.20 is: 2,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.44 : 5,378.56 = 2,129.20 : x
  2. Step 2: Convert to fraction form
    3,897.44/5,378.56 = 2,129.20/x
  3. Step 3: Cross multiply
    3,897.44x = 5,378.56 × 2,129.20
  4. Step 4: Simplify right side
    3,897.44x = 11,452,029.95
  5. Step 5: Solve for x
    x = 11,452,029.95/3,897.44
  6. Step 6: Final answer
    x = 2,938.35

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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.