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Finding the Fourth Proportional to 3,839.25, 5,294.25 and 3,616.05

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Solution

The fourth proportional to 3,839.25, 5,294.25 and 3,616.05 is: 4,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.25 : 5,294.25 = 3,616.05 : x
  2. Step 2: Convert to fraction form
    3,839.25/5,294.25 = 3,616.05/x
  3. Step 3: Cross multiply
    3,839.25x = 5,294.25 × 3,616.05
  4. Step 4: Simplify right side
    3,839.25x = 19,144,272.71
  5. Step 5: Solve for x
    x = 19,144,272.71/3,839.25
  6. Step 6: Final answer
    x = 4,986.46

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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.