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Finding the Fourth Proportional to 3,792.78, 5,234.52 and 2,220.84

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Solution

The fourth proportional to 3,792.78, 5,234.52 and 2,220.84 is: 3,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.78 : 5,234.52 = 2,220.84 : x
  2. Step 2: Convert to fraction form
    3,792.78/5,234.52 = 2,220.84/x
  3. Step 3: Cross multiply
    3,792.78x = 5,234.52 × 2,220.84
  4. Step 4: Simplify right side
    3,792.78x = 11,625,031.40
  5. Step 5: Solve for x
    x = 11,625,031.40/3,792.78
  6. Step 6: Final answer
    x = 3,065.04

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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.