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Finding the Fourth Proportional to 6,092.16, 8,407.38 and 3,733.85

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Solution

The fourth proportional to 6,092.16, 8,407.38 and 3,733.85 is: 5,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.16 : 8,407.38 = 3,733.85 : x
  2. Step 2: Convert to fraction form
    6,092.16/8,407.38 = 3,733.85/x
  3. Step 3: Cross multiply
    6,092.16x = 8,407.38 × 3,733.85
  4. Step 4: Simplify right side
    6,092.16x = 31,391,853.78
  5. Step 5: Solve for x
    x = 31,391,853.78/6,092.16
  6. Step 6: Final answer
    x = 5,152.83

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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.