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Finding the Fourth Proportional to 3,897.75, 5,378.90 and 2,129.36

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Solution

The fourth proportional to 3,897.75, 5,378.90 and 2,129.36 is: 2,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.75 : 5,378.90 = 2,129.36 : x
  2. Step 2: Convert to fraction form
    3,897.75/5,378.90 = 2,129.36/x
  3. Step 3: Cross multiply
    3,897.75x = 5,378.90 × 2,129.36
  4. Step 4: Simplify right side
    3,897.75x = 11,453,617.30
  5. Step 5: Solve for x
    x = 11,453,617.30/3,897.75
  6. Step 6: Final answer
    x = 2,938.52

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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.