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Finding the Fourth Proportional to 3,796, 5,691.95 and 1,296.44

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Solution

The fourth proportional to 3,796, 5,691.95 and 1,296.44 is: 1,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796 : 5,691.95 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    3,796/5,691.95 = 1,296.44/x
  3. Step 3: Cross multiply
    3,796x = 5,691.95 × 1,296.44
  4. Step 4: Simplify right side
    3,796x = 7,379,271.66
  5. Step 5: Solve for x
    x = 7,379,271.66/3,796
  6. Step 6: Final answer
    x = 1,943.96

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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.