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Finding the Fourth Proportional to 3,843.02, 5,759.12 and 3,059.55

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Solution

The fourth proportional to 3,843.02, 5,759.12 and 3,059.55 is: 4,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.02 : 5,759.12 = 3,059.55 : x
  2. Step 2: Convert to fraction form
    3,843.02/5,759.12 = 3,059.55/x
  3. Step 3: Cross multiply
    3,843.02x = 5,759.12 × 3,059.55
  4. Step 4: Simplify right side
    3,843.02x = 17,620,323.24
  5. Step 5: Solve for x
    x = 17,620,323.24/3,843.02
  6. Step 6: Final answer
    x = 4,585.02

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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.