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Finding the Fourth Proportional to 3,792.67, 5,233.78 and 2,220.77

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Solution

The fourth proportional to 3,792.67, 5,233.78 and 2,220.77 is: 3,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.67 : 5,233.78 = 2,220.77 : x
  2. Step 2: Convert to fraction form
    3,792.67/5,233.78 = 2,220.77/x
  3. Step 3: Cross multiply
    3,792.67x = 5,233.78 × 2,220.77
  4. Step 4: Simplify right side
    3,792.67x = 11,623,021.61
  5. Step 5: Solve for x
    x = 11,623,021.61/3,792.67
  6. Step 6: Final answer
    x = 3,064.60

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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.