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Finding the Fourth Proportional to 4,169.65, 5,755.57 and 2,401.96

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Solution

The fourth proportional to 4,169.65, 5,755.57 and 2,401.96 is: 3,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.65 : 5,755.57 = 2,401.96 : x
  2. Step 2: Convert to fraction form
    4,169.65/5,755.57 = 2,401.96/x
  3. Step 3: Cross multiply
    4,169.65x = 5,755.57 × 2,401.96
  4. Step 4: Simplify right side
    4,169.65x = 13,824,648.92
  5. Step 5: Solve for x
    x = 13,824,648.92/4,169.65
  6. Step 6: Final answer
    x = 3,315.54

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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.