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Finding the Fourth Proportional to 3,471.85, 4,792.17 and 2,145.07

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Solution

The fourth proportional to 3,471.85, 4,792.17 and 2,145.07 is: 2,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.85 : 4,792.17 = 2,145.07 : x
  2. Step 2: Convert to fraction form
    3,471.85/4,792.17 = 2,145.07/x
  3. Step 3: Cross multiply
    3,471.85x = 4,792.17 × 2,145.07
  4. Step 4: Simplify right side
    3,471.85x = 10,279,540.10
  5. Step 5: Solve for x
    x = 10,279,540.10/3,471.85
  6. Step 6: Final answer
    x = 2,960.82

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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.