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Finding the Fourth Proportional to 2,825.71, 4,211.95 and 2,736.15

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Solution

The fourth proportional to 2,825.71, 4,211.95 and 2,736.15 is: 4,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.71 : 4,211.95 = 2,736.15 : x
  2. Step 2: Convert to fraction form
    2,825.71/4,211.95 = 2,736.15/x
  3. Step 3: Cross multiply
    2,825.71x = 4,211.95 × 2,736.15
  4. Step 4: Simplify right side
    2,825.71x = 11,524,545.03
  5. Step 5: Solve for x
    x = 11,524,545.03/2,825.71
  6. Step 6: Final answer
    x = 4,078.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.