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Finding the Fourth Proportional to 5,922.79, 8,174 and 4,132.87

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Solution

The fourth proportional to 5,922.79, 8,174 and 4,132.87 is: 5,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.79 : 8,174 = 4,132.87 : x
  2. Step 2: Convert to fraction form
    5,922.79/8,174 = 4,132.87/x
  3. Step 3: Cross multiply
    5,922.79x = 8,174 × 4,132.87
  4. Step 4: Simplify right side
    5,922.79x = 33,782,079.38
  5. Step 5: Solve for x
    x = 33,782,079.38/5,922.79
  6. Step 6: Final answer
    x = 5,703.74

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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.