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Finding the Fourth Proportional to 3,897.61, 5,378.81 and 2,129.31

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Solution

The fourth proportional to 3,897.61, 5,378.81 and 2,129.31 is: 2,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.61 : 5,378.81 = 2,129.31 : x
  2. Step 2: Convert to fraction form
    3,897.61/5,378.81 = 2,129.31/x
  3. Step 3: Cross multiply
    3,897.61x = 5,378.81 × 2,129.31
  4. Step 4: Simplify right side
    3,897.61x = 11,453,143.27
  5. Step 5: Solve for x
    x = 11,453,143.27/3,897.61
  6. Step 6: Final answer
    x = 2,938.51

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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.