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Finding the Fourth Proportional to 3,767.07, 5,651.54 and 2,658.65

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Solution

The fourth proportional to 3,767.07, 5,651.54 and 2,658.65 is: 3,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.07 : 5,651.54 = 2,658.65 : x
  2. Step 2: Convert to fraction form
    3,767.07/5,651.54 = 2,658.65/x
  3. Step 3: Cross multiply
    3,767.07x = 5,651.54 × 2,658.65
  4. Step 4: Simplify right side
    3,767.07x = 15,025,435.24
  5. Step 5: Solve for x
    x = 15,025,435.24/3,767.07
  6. Step 6: Final answer
    x = 3,988.63

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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.