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Finding the Fourth Proportional to 3,931.20, 5,896.80 and 2,843.20

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Solution

The fourth proportional to 3,931.20, 5,896.80 and 2,843.20 is: 4,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.20 : 5,896.80 = 2,843.20 : x
  2. Step 2: Convert to fraction form
    3,931.20/5,896.80 = 2,843.20/x
  3. Step 3: Cross multiply
    3,931.20x = 5,896.80 × 2,843.20
  4. Step 4: Simplify right side
    3,931.20x = 16,765,781.76
  5. Step 5: Solve for x
    x = 16,765,781.76/3,931.20
  6. Step 6: Final answer
    x = 4,264.80

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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.