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Finding the Fourth Proportional to 6,244.90, 8,617.91 and 3,727.10

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Solution

The fourth proportional to 6,244.90, 8,617.91 and 3,727.10 is: 5,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.90 : 8,617.91 = 3,727.10 : x
  2. Step 2: Convert to fraction form
    6,244.90/8,617.91 = 3,727.10/x
  3. Step 3: Cross multiply
    6,244.90x = 8,617.91 × 3,727.10
  4. Step 4: Simplify right side
    6,244.90x = 32,119,815.27
  5. Step 5: Solve for x
    x = 32,119,815.27/6,244.90
  6. Step 6: Final answer
    x = 5,143.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.