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Finding the Fourth Proportional to 4,121.65, 5,687.82 and 2,353.22

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Solution

The fourth proportional to 4,121.65, 5,687.82 and 2,353.22 is: 3,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.65 : 5,687.82 = 2,353.22 : x
  2. Step 2: Convert to fraction form
    4,121.65/5,687.82 = 2,353.22/x
  3. Step 3: Cross multiply
    4,121.65x = 5,687.82 × 2,353.22
  4. Step 4: Simplify right side
    4,121.65x = 13,384,684.67
  5. Step 5: Solve for x
    x = 13,384,684.67/4,121.65
  6. Step 6: Final answer
    x = 3,247.41

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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.