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Finding the Fourth Proportional to 5,126.67, 7,690.08 and 1,616.61

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Solution

The fourth proportional to 5,126.67, 7,690.08 and 1,616.61 is: 2,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.67 : 7,690.08 = 1,616.61 : x
  2. Step 2: Convert to fraction form
    5,126.67/7,690.08 = 1,616.61/x
  3. Step 3: Cross multiply
    5,126.67x = 7,690.08 × 1,616.61
  4. Step 4: Simplify right side
    5,126.67x = 12,431,860.23
  5. Step 5: Solve for x
    x = 12,431,860.23/5,126.67
  6. Step 6: Final answer
    x = 2,424.94

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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.