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Finding the Fourth Proportional to 3,911.97, 5,856.16 and 2,522.54

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Solution

The fourth proportional to 3,911.97, 5,856.16 and 2,522.54 is: 3,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.97 : 5,856.16 = 2,522.54 : x
  2. Step 2: Convert to fraction form
    3,911.97/5,856.16 = 2,522.54/x
  3. Step 3: Cross multiply
    3,911.97x = 5,856.16 × 2,522.54
  4. Step 4: Simplify right side
    3,911.97x = 14,772,397.85
  5. Step 5: Solve for x
    x = 14,772,397.85/3,911.97
  6. Step 6: Final answer
    x = 3,776.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.