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Finding the Fourth Proportional to 3,897.75, 5,378.91 and 2,129.40

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Solution

The fourth proportional to 3,897.75, 5,378.91 and 2,129.40 is: 2,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.75 : 5,378.91 = 2,129.40 : x
  2. Step 2: Convert to fraction form
    3,897.75/5,378.91 = 2,129.40/x
  3. Step 3: Cross multiply
    3,897.75x = 5,378.91 × 2,129.40
  4. Step 4: Simplify right side
    3,897.75x = 11,453,850.95
  5. Step 5: Solve for x
    x = 11,453,850.95/3,897.75
  6. Step 6: Final answer
    x = 2,938.58

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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.