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Finding the Fourth Proportional to 4,936.98, 7,407.30 and 2,305.97

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Solution

The fourth proportional to 4,936.98, 7,407.30 and 2,305.97 is: 3,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.98 : 7,407.30 = 2,305.97 : x
  2. Step 2: Convert to fraction form
    4,936.98/7,407.30 = 2,305.97/x
  3. Step 3: Cross multiply
    4,936.98x = 7,407.30 × 2,305.97
  4. Step 4: Simplify right side
    4,936.98x = 17,080,974.54
  5. Step 5: Solve for x
    x = 17,080,974.54/4,936.98
  6. Step 6: Final answer
    x = 3,459.80

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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.