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Finding the Fourth Proportional to 3,469.60, 5,206.80 and 2,496.40

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Solution

The fourth proportional to 3,469.60, 5,206.80 and 2,496.40 is: 3,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.60 : 5,206.80 = 2,496.40 : x
  2. Step 2: Convert to fraction form
    3,469.60/5,206.80 = 2,496.40/x
  3. Step 3: Cross multiply
    3,469.60x = 5,206.80 × 2,496.40
  4. Step 4: Simplify right side
    3,469.60x = 12,998,255.52
  5. Step 5: Solve for x
    x = 12,998,255.52/3,469.60
  6. Step 6: Final answer
    x = 3,746.33

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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.