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Finding the Fourth Proportional to 4,121.36, 5,687.76 and 2,353

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Solution

The fourth proportional to 4,121.36, 5,687.76 and 2,353 is: 3,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.36 : 5,687.76 = 2,353 : x
  2. Step 2: Convert to fraction form
    4,121.36/5,687.76 = 2,353/x
  3. Step 3: Cross multiply
    4,121.36x = 5,687.76 × 2,353
  4. Step 4: Simplify right side
    4,121.36x = 13,383,299.28
  5. Step 5: Solve for x
    x = 13,383,299.28/4,121.36
  6. Step 6: Final answer
    x = 3,247.30

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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.