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Finding the Fourth Proportional to 3,498.39, 5,247.57 and 2,399.40

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Solution

The fourth proportional to 3,498.39, 5,247.57 and 2,399.40 is: 3,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.39 : 5,247.57 = 2,399.40 : x
  2. Step 2: Convert to fraction form
    3,498.39/5,247.57 = 2,399.40/x
  3. Step 3: Cross multiply
    3,498.39x = 5,247.57 × 2,399.40
  4. Step 4: Simplify right side
    3,498.39x = 12,591,019.46
  5. Step 5: Solve for x
    x = 12,591,019.46/3,498.39
  6. Step 6: Final answer
    x = 3,599.09

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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.