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Finding the Fourth Proportional to 3,057.09, 4,217.11 and 1,993.51

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Solution

The fourth proportional to 3,057.09, 4,217.11 and 1,993.51 is: 2,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.09 : 4,217.11 = 1,993.51 : x
  2. Step 2: Convert to fraction form
    3,057.09/4,217.11 = 1,993.51/x
  3. Step 3: Cross multiply
    3,057.09x = 4,217.11 × 1,993.51
  4. Step 4: Simplify right side
    3,057.09x = 8,406,862.46
  5. Step 5: Solve for x
    x = 8,406,862.46/3,057.09
  6. Step 6: Final answer
    x = 2,749.95

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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.