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Finding the Fourth Proportional to 3,987.76, 5,982.58 and 1,251.76

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Solution

The fourth proportional to 3,987.76, 5,982.58 and 1,251.76 is: 1,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.76 : 5,982.58 = 1,251.76 : x
  2. Step 2: Convert to fraction form
    3,987.76/5,982.58 = 1,251.76/x
  3. Step 3: Cross multiply
    3,987.76x = 5,982.58 × 1,251.76
  4. Step 4: Simplify right side
    3,987.76x = 7,488,754.34
  5. Step 5: Solve for x
    x = 7,488,754.34/3,987.76
  6. Step 6: Final answer
    x = 1,877.94

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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.