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Finding the Fourth Proportional to 4,197.92, 5,792.96 and 2,705.90

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Solution

The fourth proportional to 4,197.92, 5,792.96 and 2,705.90 is: 3,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.92 : 5,792.96 = 2,705.90 : x
  2. Step 2: Convert to fraction form
    4,197.92/5,792.96 = 2,705.90/x
  3. Step 3: Cross multiply
    4,197.92x = 5,792.96 × 2,705.90
  4. Step 4: Simplify right side
    4,197.92x = 15,675,170.46
  5. Step 5: Solve for x
    x = 15,675,170.46/4,197.92
  6. Step 6: Final answer
    x = 3,734.03

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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.