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Finding the Fourth Proportional to 4,538.82, 6,806.54 and 1,616.52

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Solution

The fourth proportional to 4,538.82, 6,806.54 and 1,616.52 is: 2,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.82 : 6,806.54 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    4,538.82/6,806.54 = 1,616.52/x
  3. Step 3: Cross multiply
    4,538.82x = 6,806.54 × 1,616.52
  4. Step 4: Simplify right side
    4,538.82x = 11,002,908.04
  5. Step 5: Solve for x
    x = 11,002,908.04/4,538.82
  6. Step 6: Final answer
    x = 2,424.18

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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.