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Finding the Fourth Proportional to 3,897.29, 5,848.49 and 1,432.13

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Solution

The fourth proportional to 3,897.29, 5,848.49 and 1,432.13 is: 2,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.29 : 5,848.49 = 1,432.13 : x
  2. Step 2: Convert to fraction form
    3,897.29/5,848.49 = 1,432.13/x
  3. Step 3: Cross multiply
    3,897.29x = 5,848.49 × 1,432.13
  4. Step 4: Simplify right side
    3,897.29x = 8,375,797.98
  5. Step 5: Solve for x
    x = 8,375,797.98/3,897.29
  6. Step 6: Final answer
    x = 2,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.