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Finding the Fourth Proportional to 3,382.15, 5,073.63 and 1,042.24

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Solution

The fourth proportional to 3,382.15, 5,073.63 and 1,042.24 is: 1,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.15 : 5,073.63 = 1,042.24 : x
  2. Step 2: Convert to fraction form
    3,382.15/5,073.63 = 1,042.24/x
  3. Step 3: Cross multiply
    3,382.15x = 5,073.63 × 1,042.24
  4. Step 4: Simplify right side
    3,382.15x = 5,287,940.13
  5. Step 5: Solve for x
    x = 5,287,940.13/3,382.15
  6. Step 6: Final answer
    x = 1,563.48

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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.