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Finding the Fourth Proportional to 3,792.34, 5,233.26 and 2,113.69

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Solution

The fourth proportional to 3,792.34, 5,233.26 and 2,113.69 is: 2,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.34 : 5,233.26 = 2,113.69 : x
  2. Step 2: Convert to fraction form
    3,792.34/5,233.26 = 2,113.69/x
  3. Step 3: Cross multiply
    3,792.34x = 5,233.26 × 2,113.69
  4. Step 4: Simplify right side
    3,792.34x = 11,061,489.33
  5. Step 5: Solve for x
    x = 11,061,489.33/3,792.34
  6. Step 6: Final answer
    x = 2,916.80

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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.