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Finding the Fourth Proportional to 5,963.86, 8,945.79 and 2,068.27

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Solution

The fourth proportional to 5,963.86, 8,945.79 and 2,068.27 is: 3,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.86 : 8,945.79 = 2,068.27 : x
  2. Step 2: Convert to fraction form
    5,963.86/8,945.79 = 2,068.27/x
  3. Step 3: Cross multiply
    5,963.86x = 8,945.79 × 2,068.27
  4. Step 4: Simplify right side
    5,963.86x = 18,502,309.08
  5. Step 5: Solve for x
    x = 18,502,309.08/5,963.86
  6. Step 6: Final answer
    x = 3,102.41

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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.