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Finding the Fourth Proportional to 3,959.51, 5,937.77 and 1,618.26

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Solution

The fourth proportional to 3,959.51, 5,937.77 and 1,618.26 is: 2,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.51 : 5,937.77 = 1,618.26 : x
  2. Step 2: Convert to fraction form
    3,959.51/5,937.77 = 1,618.26/x
  3. Step 3: Cross multiply
    3,959.51x = 5,937.77 × 1,618.26
  4. Step 4: Simplify right side
    3,959.51x = 9,608,847.59
  5. Step 5: Solve for x
    x = 9,608,847.59/3,959.51
  6. Step 6: Final answer
    x = 2,426.78

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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.