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Finding the Fourth Proportional to 5,943.92, 8,910.58 and 2,822

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Solution

The fourth proportional to 5,943.92, 8,910.58 and 2,822 is: 4,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.92 : 8,910.58 = 2,822 : x
  2. Step 2: Convert to fraction form
    5,943.92/8,910.58 = 2,822/x
  3. Step 3: Cross multiply
    5,943.92x = 8,910.58 × 2,822
  4. Step 4: Simplify right side
    5,943.92x = 25,145,656.76
  5. Step 5: Solve for x
    x = 25,145,656.76/5,943.92
  6. Step 6: Final answer
    x = 4,230.48

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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.