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Finding the Fourth Proportional to 4,757.91, 6,565.91 and 2,662.44

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Solution

The fourth proportional to 4,757.91, 6,565.91 and 2,662.44 is: 3,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.91 : 6,565.91 = 2,662.44 : x
  2. Step 2: Convert to fraction form
    4,757.91/6,565.91 = 2,662.44/x
  3. Step 3: Cross multiply
    4,757.91x = 6,565.91 × 2,662.44
  4. Step 4: Simplify right side
    4,757.91x = 17,481,318.46
  5. Step 5: Solve for x
    x = 17,481,318.46/4,757.91
  6. Step 6: Final answer
    x = 3,674.16

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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.