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Finding the Fourth Proportional to 5,963.47, 8,233.38 and 4,078.19

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Solution

The fourth proportional to 5,963.47, 8,233.38 and 4,078.19 is: 5,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.47 : 8,233.38 = 4,078.19 : x
  2. Step 2: Convert to fraction form
    5,963.47/8,233.38 = 4,078.19/x
  3. Step 3: Cross multiply
    5,963.47x = 8,233.38 × 4,078.19
  4. Step 4: Simplify right side
    5,963.47x = 33,577,308.57
  5. Step 5: Solve for x
    x = 33,577,308.57/5,963.47
  6. Step 6: Final answer
    x = 5,630.50

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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.