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Finding the Fourth Proportional to 3,793, 5,233.54 and 2,220.76

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Solution

The fourth proportional to 3,793, 5,233.54 and 2,220.76 is: 3,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 5,233.54 = 2,220.76 : x
  2. Step 2: Convert to fraction form
    3,793/5,233.54 = 2,220.76/x
  3. Step 3: Cross multiply
    3,793x = 5,233.54 × 2,220.76
  4. Step 4: Simplify right side
    3,793x = 11,622,436.29
  5. Step 5: Solve for x
    x = 11,622,436.29/3,793
  6. Step 6: Final answer
    x = 3,064.18

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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.