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Finding the Fourth Proportional to 3,794.34, 5,233.62 and 3,296.11

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Solution

The fourth proportional to 3,794.34, 5,233.62 and 3,296.11 is: 4,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.34 : 5,233.62 = 3,296.11 : x
  2. Step 2: Convert to fraction form
    3,794.34/5,233.62 = 3,296.11/x
  3. Step 3: Cross multiply
    3,794.34x = 5,233.62 × 3,296.11
  4. Step 4: Simplify right side
    3,794.34x = 17,250,587.22
  5. Step 5: Solve for x
    x = 17,250,587.22/3,794.34
  6. Step 6: Final answer
    x = 4,546.40

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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.