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Finding the Fourth Proportional to 3,616.73, 5,425.10 and 1,536.20

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Solution

The fourth proportional to 3,616.73, 5,425.10 and 1,536.20 is: 2,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.73 : 5,425.10 = 1,536.20 : x
  2. Step 2: Convert to fraction form
    3,616.73/5,425.10 = 1,536.20/x
  3. Step 3: Cross multiply
    3,616.73x = 5,425.10 × 1,536.20
  4. Step 4: Simplify right side
    3,616.73x = 8,334,038.62
  5. Step 5: Solve for x
    x = 8,334,038.62/3,616.73
  6. Step 6: Final answer
    x = 2,304.30

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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.