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Finding the Fourth Proportional to 4,160.70, 5,738.31 and 2,834.46

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Solution

The fourth proportional to 4,160.70, 5,738.31 and 2,834.46 is: 3,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.70 : 5,738.31 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    4,160.70/5,738.31 = 2,834.46/x
  3. Step 3: Cross multiply
    4,160.70x = 5,738.31 × 2,834.46
  4. Step 4: Simplify right side
    4,160.70x = 16,265,010.16
  5. Step 5: Solve for x
    x = 16,265,010.16/4,160.70
  6. Step 6: Final answer
    x = 3,909.20

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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.