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Finding the Fourth Proportional to 3,897.77, 5,378.92 and 2,129.37

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Solution

The fourth proportional to 3,897.77, 5,378.92 and 2,129.37 is: 2,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.77 : 5,378.92 = 2,129.37 : x
  2. Step 2: Convert to fraction form
    3,897.77/5,378.92 = 2,129.37/x
  3. Step 3: Cross multiply
    3,897.77x = 5,378.92 × 2,129.37
  4. Step 4: Simplify right side
    3,897.77x = 11,453,705.56
  5. Step 5: Solve for x
    x = 11,453,705.56/3,897.77
  6. Step 6: Final answer
    x = 2,938.53

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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.