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Finding the Fourth Proportional to 5,883.29, 8,822.10 and 3,418.82

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Solution

The fourth proportional to 5,883.29, 8,822.10 and 3,418.82 is: 5,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.29 : 8,822.10 = 3,418.82 : x
  2. Step 2: Convert to fraction form
    5,883.29/8,822.10 = 3,418.82/x
  3. Step 3: Cross multiply
    5,883.29x = 8,822.10 × 3,418.82
  4. Step 4: Simplify right side
    5,883.29x = 30,161,171.92
  5. Step 5: Solve for x
    x = 30,161,171.92/5,883.29
  6. Step 6: Final answer
    x = 5,126.58

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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.