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Finding the Fourth Proportional to 3,223.65, 4,857.43 and 2,651.47

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Solution

The fourth proportional to 3,223.65, 4,857.43 and 2,651.47 is: 3,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.65 : 4,857.43 = 2,651.47 : x
  2. Step 2: Convert to fraction form
    3,223.65/4,857.43 = 2,651.47/x
  3. Step 3: Cross multiply
    3,223.65x = 4,857.43 × 2,651.47
  4. Step 4: Simplify right side
    3,223.65x = 12,879,329.92
  5. Step 5: Solve for x
    x = 12,879,329.92/3,223.65
  6. Step 6: Final answer
    x = 3,995.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.