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Finding the Fourth Proportional to 3,718.69, 5,131.94 and 2,040.16

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Solution

The fourth proportional to 3,718.69, 5,131.94 and 2,040.16 is: 2,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.69 : 5,131.94 = 2,040.16 : x
  2. Step 2: Convert to fraction form
    3,718.69/5,131.94 = 2,040.16/x
  3. Step 3: Cross multiply
    3,718.69x = 5,131.94 × 2,040.16
  4. Step 4: Simplify right side
    3,718.69x = 10,469,978.71
  5. Step 5: Solve for x
    x = 10,469,978.71/3,718.69
  6. Step 6: Final answer
    x = 2,815.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.