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Finding the Fourth Proportional to 3,897.61, 5,848.97 and 1,432.44

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Solution

The fourth proportional to 3,897.61, 5,848.97 and 1,432.44 is: 2,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.61 : 5,848.97 = 1,432.44 : x
  2. Step 2: Convert to fraction form
    3,897.61/5,848.97 = 1,432.44/x
  3. Step 3: Cross multiply
    3,897.61x = 5,848.97 × 1,432.44
  4. Step 4: Simplify right side
    3,897.61x = 8,378,291.42
  5. Step 5: Solve for x
    x = 8,378,291.42/3,897.61
  6. Step 6: Final answer
    x = 2,149.60

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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.