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Finding the Fourth Proportional to 3,963.51, 5,943.78 and 1,497.02

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Solution

The fourth proportional to 3,963.51, 5,943.78 and 1,497.02 is: 2,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.51 : 5,943.78 = 1,497.02 : x
  2. Step 2: Convert to fraction form
    3,963.51/5,943.78 = 1,497.02/x
  3. Step 3: Cross multiply
    3,963.51x = 5,943.78 × 1,497.02
  4. Step 4: Simplify right side
    3,963.51x = 8,897,927.82
  5. Step 5: Solve for x
    x = 8,897,927.82/3,963.51
  6. Step 6: Final answer
    x = 2,244.96

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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.