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Finding the Fourth Proportional to 3,963.66, 5,945.25 and 1,041.96

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Solution

The fourth proportional to 3,963.66, 5,945.25 and 1,041.96 is: 1,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.66 : 5,945.25 = 1,041.96 : x
  2. Step 2: Convert to fraction form
    3,963.66/5,945.25 = 1,041.96/x
  3. Step 3: Cross multiply
    3,963.66x = 5,945.25 × 1,041.96
  4. Step 4: Simplify right side
    3,963.66x = 6,194,712.69
  5. Step 5: Solve for x
    x = 6,194,712.69/3,963.66
  6. Step 6: Final answer
    x = 1,562.88

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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.