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Finding the Fourth Proportional to 4,002.52, 6,003.24 and 1,694.56

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Solution

The fourth proportional to 4,002.52, 6,003.24 and 1,694.56 is: 2,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.52 : 6,003.24 = 1,694.56 : x
  2. Step 2: Convert to fraction form
    4,002.52/6,003.24 = 1,694.56/x
  3. Step 3: Cross multiply
    4,002.52x = 6,003.24 × 1,694.56
  4. Step 4: Simplify right side
    4,002.52x = 10,172,850.37
  5. Step 5: Solve for x
    x = 10,172,850.37/4,002.52
  6. Step 6: Final answer
    x = 2,541.61

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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.