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Finding the Fourth Proportional to 5,226.25, 7,837.02 and 3,759.25

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Solution

The fourth proportional to 5,226.25, 7,837.02 and 3,759.25 is: 5,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.25 : 7,837.02 = 3,759.25 : x
  2. Step 2: Convert to fraction form
    5,226.25/7,837.02 = 3,759.25/x
  3. Step 3: Cross multiply
    5,226.25x = 7,837.02 × 3,759.25
  4. Step 4: Simplify right side
    5,226.25x = 29,461,317.44
  5. Step 5: Solve for x
    x = 29,461,317.44/5,226.25
  6. Step 6: Final answer
    x = 5,637.18

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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.