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Finding the Fourth Proportional to 4,616.61, 6,924.92 and 2,153.15

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Solution

The fourth proportional to 4,616.61, 6,924.92 and 2,153.15 is: 3,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.61 : 6,924.92 = 2,153.15 : x
  2. Step 2: Convert to fraction form
    4,616.61/6,924.92 = 2,153.15/x
  3. Step 3: Cross multiply
    4,616.61x = 6,924.92 × 2,153.15
  4. Step 4: Simplify right side
    4,616.61x = 14,910,398.04
  5. Step 5: Solve for x
    x = 14,910,398.04/4,616.61
  6. Step 6: Final answer
    x = 3,229.73

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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.