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Finding the Fourth Proportional to 3,982.77, 5,963.19 and 3,005.91

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Solution

The fourth proportional to 3,982.77, 5,963.19 and 3,005.91 is: 4,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.77 : 5,963.19 = 3,005.91 : x
  2. Step 2: Convert to fraction form
    3,982.77/5,963.19 = 3,005.91/x
  3. Step 3: Cross multiply
    3,982.77x = 5,963.19 × 3,005.91
  4. Step 4: Simplify right side
    3,982.77x = 17,924,812.45
  5. Step 5: Solve for x
    x = 17,924,812.45/3,982.77
  6. Step 6: Final answer
    x = 4,500.59

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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.