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Finding the Fourth Proportional to 3,881.64, 5,822.44 and 959.90

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Solution

The fourth proportional to 3,881.64, 5,822.44 and 959.90 is: 1,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.64 : 5,822.44 = 959.90 : x
  2. Step 2: Convert to fraction form
    3,881.64/5,822.44 = 959.90/x
  3. Step 3: Cross multiply
    3,881.64x = 5,822.44 × 959.90
  4. Step 4: Simplify right side
    3,881.64x = 5,588,960.16
  5. Step 5: Solve for x
    x = 5,588,960.16/3,881.64
  6. Step 6: Final answer
    x = 1,439.85

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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.