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Finding the Fourth Proportional to 3,616.49, 5,425.52 and 1,538.27

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Solution

The fourth proportional to 3,616.49, 5,425.52 and 1,538.27 is: 2,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.49 : 5,425.52 = 1,538.27 : x
  2. Step 2: Convert to fraction form
    3,616.49/5,425.52 = 1,538.27/x
  3. Step 3: Cross multiply
    3,616.49x = 5,425.52 × 1,538.27
  4. Step 4: Simplify right side
    3,616.49x = 8,345,914.65
  5. Step 5: Solve for x
    x = 8,345,914.65/3,616.49
  6. Step 6: Final answer
    x = 2,307.74

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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.