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Finding the Fourth Proportional to 3,963.73, 5,470.53 and 2,284.82

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Solution

The fourth proportional to 3,963.73, 5,470.53 and 2,284.82 is: 3,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.73 : 5,470.53 = 2,284.82 : x
  2. Step 2: Convert to fraction form
    3,963.73/5,470.53 = 2,284.82/x
  3. Step 3: Cross multiply
    3,963.73x = 5,470.53 × 2,284.82
  4. Step 4: Simplify right side
    3,963.73x = 12,499,176.35
  5. Step 5: Solve for x
    x = 12,499,176.35/3,963.73
  6. Step 6: Final answer
    x = 3,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.