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Finding the Fourth Proportional to 4,083.78, 5,635.62 and 2,220.78

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Solution

The fourth proportional to 4,083.78, 5,635.62 and 2,220.78 is: 3,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.78 : 5,635.62 = 2,220.78 : x
  2. Step 2: Convert to fraction form
    4,083.78/5,635.62 = 2,220.78/x
  3. Step 3: Cross multiply
    4,083.78x = 5,635.62 × 2,220.78
  4. Step 4: Simplify right side
    4,083.78x = 12,515,472.18
  5. Step 5: Solve for x
    x = 12,515,472.18/4,083.78
  6. Step 6: Final answer
    x = 3,064.68

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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.