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Finding the Fourth Proportional to 3,616.27, 5,424.99 and 1,536.29

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Solution

The fourth proportional to 3,616.27, 5,424.99 and 1,536.29 is: 2,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.27 : 5,424.99 = 1,536.29 : x
  2. Step 2: Convert to fraction form
    3,616.27/5,424.99 = 1,536.29/x
  3. Step 3: Cross multiply
    3,616.27x = 5,424.99 × 1,536.29
  4. Step 4: Simplify right side
    3,616.27x = 8,334,357.89
  5. Step 5: Solve for x
    x = 8,334,357.89/3,616.27
  6. Step 6: Final answer
    x = 2,304.68

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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.