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Finding the Fourth Proportional to 5,822.29, 8,046.17 and 5,174.29

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Solution

The fourth proportional to 5,822.29, 8,046.17 and 5,174.29 is: 7,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.29 : 8,046.17 = 5,174.29 : x
  2. Step 2: Convert to fraction form
    5,822.29/8,046.17 = 5,174.29/x
  3. Step 3: Cross multiply
    5,822.29x = 8,046.17 × 5,174.29
  4. Step 4: Simplify right side
    5,822.29x = 41,633,216.97
  5. Step 5: Solve for x
    x = 41,633,216.97/5,822.29
  6. Step 6: Final answer
    x = 7,150.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.