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Finding the Fourth Proportional to 3,792.70, 5,233.94 and 2,199.66

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Solution

The fourth proportional to 3,792.70, 5,233.94 and 2,199.66 is: 3,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.70 : 5,233.94 = 2,199.66 : x
  2. Step 2: Convert to fraction form
    3,792.70/5,233.94 = 2,199.66/x
  3. Step 3: Cross multiply
    3,792.70x = 5,233.94 × 2,199.66
  4. Step 4: Simplify right side
    3,792.70x = 11,512,888.46
  5. Step 5: Solve for x
    x = 11,512,888.46/3,792.70
  6. Step 6: Final answer
    x = 3,035.54

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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.