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Finding the Fourth Proportional to 3,891.25, 5,837.73 and 1,426.10

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Solution

The fourth proportional to 3,891.25, 5,837.73 and 1,426.10 is: 2,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.25 : 5,837.73 = 1,426.10 : x
  2. Step 2: Convert to fraction form
    3,891.25/5,837.73 = 1,426.10/x
  3. Step 3: Cross multiply
    3,891.25x = 5,837.73 × 1,426.10
  4. Step 4: Simplify right side
    3,891.25x = 8,325,152.22
  5. Step 5: Solve for x
    x = 8,325,152.22/3,891.25
  6. Step 6: Final answer
    x = 2,139.45

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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.