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Finding the Fourth Proportional to 3,402.37, 5,100 and 2,306.80

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Solution

The fourth proportional to 3,402.37, 5,100 and 2,306.80 is: 3,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.37 : 5,100 = 2,306.80 : x
  2. Step 2: Convert to fraction form
    3,402.37/5,100 = 2,306.80/x
  3. Step 3: Cross multiply
    3,402.37x = 5,100 × 2,306.80
  4. Step 4: Simplify right side
    3,402.37x = 11,764,680
  5. Step 5: Solve for x
    x = 11,764,680/3,402.37
  6. Step 6: Final answer
    x = 3,457.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.