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Finding the Fourth Proportional to 3,408.07, 5,103.90 and 2,309.10

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Solution

The fourth proportional to 3,408.07, 5,103.90 and 2,309.10 is: 3,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.07 : 5,103.90 = 2,309.10 : x
  2. Step 2: Convert to fraction form
    3,408.07/5,103.90 = 2,309.10/x
  3. Step 3: Cross multiply
    3,408.07x = 5,103.90 × 2,309.10
  4. Step 4: Simplify right side
    3,408.07x = 11,785,425.06
  5. Step 5: Solve for x
    x = 11,785,425.06/3,408.07
  6. Step 6: Final answer
    x = 3,458.09

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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.