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Finding the Fourth Proportional to 4,537.38, 6,806.07 and 1,616.52

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Solution

The fourth proportional to 4,537.38, 6,806.07 and 1,616.52 is: 2,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.38 : 6,806.07 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    4,537.38/6,806.07 = 1,616.52/x
  3. Step 3: Cross multiply
    4,537.38x = 6,806.07 × 1,616.52
  4. Step 4: Simplify right side
    4,537.38x = 11,002,148.28
  5. Step 5: Solve for x
    x = 11,002,148.28/4,537.38
  6. Step 6: Final answer
    x = 2,424.78

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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.