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Finding the Fourth Proportional to 3,691.80, 5,088.69 and 3,212.03

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Solution

The fourth proportional to 3,691.80, 5,088.69 and 3,212.03 is: 4,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.80 : 5,088.69 = 3,212.03 : x
  2. Step 2: Convert to fraction form
    3,691.80/5,088.69 = 3,212.03/x
  3. Step 3: Cross multiply
    3,691.80x = 5,088.69 × 3,212.03
  4. Step 4: Simplify right side
    3,691.80x = 16,345,037.66
  5. Step 5: Solve for x
    x = 16,345,037.66/3,691.80
  6. Step 6: Final answer
    x = 4,427.39

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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.