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Finding the Fourth Proportional to 3,963.17, 5,945.63 and 1,498.01

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Solution

The fourth proportional to 3,963.17, 5,945.63 and 1,498.01 is: 2,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.17 : 5,945.63 = 1,498.01 : x
  2. Step 2: Convert to fraction form
    3,963.17/5,945.63 = 1,498.01/x
  3. Step 3: Cross multiply
    3,963.17x = 5,945.63 × 1,498.01
  4. Step 4: Simplify right side
    3,963.17x = 8,906,575.98
  5. Step 5: Solve for x
    x = 8,906,575.98/3,963.17
  6. Step 6: Final answer
    x = 2,247.33

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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.