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Finding the Fourth Proportional to 5,884.74, 8,822.91 and 2,763

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Solution

The fourth proportional to 5,884.74, 8,822.91 and 2,763 is: 4,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.74 : 8,822.91 = 2,763 : x
  2. Step 2: Convert to fraction form
    5,884.74/8,822.91 = 2,763/x
  3. Step 3: Cross multiply
    5,884.74x = 8,822.91 × 2,763
  4. Step 4: Simplify right side
    5,884.74x = 24,377,700.33
  5. Step 5: Solve for x
    x = 24,377,700.33/5,884.74
  6. Step 6: Final answer
    x = 4,142.53

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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.