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Finding the Fourth Proportional to 4,001.60, 5,993.12 and 3,863.20

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Solution

The fourth proportional to 4,001.60, 5,993.12 and 3,863.20 is: 5,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.60 : 5,993.12 = 3,863.20 : x
  2. Step 2: Convert to fraction form
    4,001.60/5,993.12 = 3,863.20/x
  3. Step 3: Cross multiply
    4,001.60x = 5,993.12 × 3,863.20
  4. Step 4: Simplify right side
    4,001.60x = 23,152,621.18
  5. Step 5: Solve for x
    x = 23,152,621.18/4,001.60
  6. Step 6: Final answer
    x = 5,785.84

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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.