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Finding the Fourth Proportional to 3,393.74, 5,091.17 and 1,203.09

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Solution

The fourth proportional to 3,393.74, 5,091.17 and 1,203.09 is: 1,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.74 : 5,091.17 = 1,203.09 : x
  2. Step 2: Convert to fraction form
    3,393.74/5,091.17 = 1,203.09/x
  3. Step 3: Cross multiply
    3,393.74x = 5,091.17 × 1,203.09
  4. Step 4: Simplify right side
    3,393.74x = 6,125,129.70
  5. Step 5: Solve for x
    x = 6,125,129.70/3,393.74
  6. Step 6: Final answer
    x = 1,804.83

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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.