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Finding the Fourth Proportional to 3,951.36, 5,923.20 and 1,641.60

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Solution

The fourth proportional to 3,951.36, 5,923.20 and 1,641.60 is: 2,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.36 : 5,923.20 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    3,951.36/5,923.20 = 1,641.60/x
  3. Step 3: Cross multiply
    3,951.36x = 5,923.20 × 1,641.60
  4. Step 4: Simplify right side
    3,951.36x = 9,723,525.12
  5. Step 5: Solve for x
    x = 9,723,525.12/3,951.36
  6. Step 6: Final answer
    x = 2,460.80

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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.