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Finding the Fourth Proportional to 3,717.27, 5,569.77 and 2,616.27

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Solution

The fourth proportional to 3,717.27, 5,569.77 and 2,616.27 is: 3,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.27 : 5,569.77 = 2,616.27 : x
  2. Step 2: Convert to fraction form
    3,717.27/5,569.77 = 2,616.27/x
  3. Step 3: Cross multiply
    3,717.27x = 5,569.77 × 2,616.27
  4. Step 4: Simplify right side
    3,717.27x = 14,572,022.16
  5. Step 5: Solve for x
    x = 14,572,022.16/3,717.27
  6. Step 6: Final answer
    x = 3,920.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.