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Finding the Fourth Proportional to 4,936.47, 7,404.49 and 1,649.31

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Solution

The fourth proportional to 4,936.47, 7,404.49 and 1,649.31 is: 2,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.47 : 7,404.49 = 1,649.31 : x
  2. Step 2: Convert to fraction form
    4,936.47/7,404.49 = 1,649.31/x
  3. Step 3: Cross multiply
    4,936.47x = 7,404.49 × 1,649.31
  4. Step 4: Simplify right side
    4,936.47x = 12,212,299.40
  5. Step 5: Solve for x
    x = 12,212,299.40/4,936.47
  6. Step 6: Final answer
    x = 2,473.89

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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.