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Finding the Fourth Proportional to 4,923.60, 7,392.60 and 3,469.20

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Solution

The fourth proportional to 4,923.60, 7,392.60 and 3,469.20 is: 5,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.60 : 7,392.60 = 3,469.20 : x
  2. Step 2: Convert to fraction form
    4,923.60/7,392.60 = 3,469.20/x
  3. Step 3: Cross multiply
    4,923.60x = 7,392.60 × 3,469.20
  4. Step 4: Simplify right side
    4,923.60x = 25,646,407.92
  5. Step 5: Solve for x
    x = 25,646,407.92/4,923.60
  6. Step 6: Final answer
    x = 5,208.87

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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.