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Finding the Fourth Proportional to 5,832.98, 8,747.22 and 2,274.66

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Solution

The fourth proportional to 5,832.98, 8,747.22 and 2,274.66 is: 3,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.98 : 8,747.22 = 2,274.66 : x
  2. Step 2: Convert to fraction form
    5,832.98/8,747.22 = 2,274.66/x
  3. Step 3: Cross multiply
    5,832.98x = 8,747.22 × 2,274.66
  4. Step 4: Simplify right side
    5,832.98x = 19,896,951.45
  5. Step 5: Solve for x
    x = 19,896,951.45/5,832.98
  6. Step 6: Final answer
    x = 3,411.11

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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.