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Finding the Fourth Proportional to 3,509.78, 4,841.46 and 2,250.38

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Solution

The fourth proportional to 3,509.78, 4,841.46 and 2,250.38 is: 3,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.78 : 4,841.46 = 2,250.38 : x
  2. Step 2: Convert to fraction form
    3,509.78/4,841.46 = 2,250.38/x
  3. Step 3: Cross multiply
    3,509.78x = 4,841.46 × 2,250.38
  4. Step 4: Simplify right side
    3,509.78x = 10,895,136.86
  5. Step 5: Solve for x
    x = 10,895,136.86/3,509.78
  6. Step 6: Final answer
    x = 3,104.23

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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.