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Finding the Fourth Proportional to 5,887.38, 8,828.16 and 3,422.82

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Solution

The fourth proportional to 5,887.38, 8,828.16 and 3,422.82 is: 5,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.38 : 8,828.16 = 3,422.82 : x
  2. Step 2: Convert to fraction form
    5,887.38/8,828.16 = 3,422.82/x
  3. Step 3: Cross multiply
    5,887.38x = 8,828.16 × 3,422.82
  4. Step 4: Simplify right side
    5,887.38x = 30,217,202.61
  5. Step 5: Solve for x
    x = 30,217,202.61/5,887.38
  6. Step 6: Final answer
    x = 5,132.54

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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.