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Finding the Fourth Proportional to 3,702.85, 5,110 and 2,024.33

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Solution

The fourth proportional to 3,702.85, 5,110 and 2,024.33 is: 2,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.85 : 5,110 = 2,024.33 : x
  2. Step 2: Convert to fraction form
    3,702.85/5,110 = 2,024.33/x
  3. Step 3: Cross multiply
    3,702.85x = 5,110 × 2,024.33
  4. Step 4: Simplify right side
    3,702.85x = 10,344,326.30
  5. Step 5: Solve for x
    x = 10,344,326.30/3,702.85
  6. Step 6: Final answer
    x = 2,793.61

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