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Finding the Fourth Proportional to 5,843.12, 8,726.16 and 5,198

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Solution

The fourth proportional to 5,843.12, 8,726.16 and 5,198 is: 7,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.12 : 8,726.16 = 5,198 : x
  2. Step 2: Convert to fraction form
    5,843.12/8,726.16 = 5,198/x
  3. Step 3: Cross multiply
    5,843.12x = 8,726.16 × 5,198
  4. Step 4: Simplify right side
    5,843.12x = 45,358,579.68
  5. Step 5: Solve for x
    x = 45,358,579.68/5,843.12
  6. Step 6: Final answer
    x = 7,762.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.