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Finding the Fourth Proportional to 5,891.45, 8,821.34 and 5,144.02

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Solution

The fourth proportional to 5,891.45, 8,821.34 and 5,144.02 is: 7,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.45 : 8,821.34 = 5,144.02 : x
  2. Step 2: Convert to fraction form
    5,891.45/8,821.34 = 5,144.02/x
  3. Step 3: Cross multiply
    5,891.45x = 8,821.34 × 5,144.02
  4. Step 4: Simplify right side
    5,891.45x = 45,377,079.56
  5. Step 5: Solve for x
    x = 45,377,079.56/5,891.45
  6. Step 6: Final answer
    x = 7,702.19

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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.