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Finding the Fourth Proportional to 3,699.89, 5,102.66 and 3,296.66

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Solution

The fourth proportional to 3,699.89, 5,102.66 and 3,296.66 is: 4,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.89 : 5,102.66 = 3,296.66 : x
  2. Step 2: Convert to fraction form
    3,699.89/5,102.66 = 3,296.66/x
  3. Step 3: Cross multiply
    3,699.89x = 5,102.66 × 3,296.66
  4. Step 4: Simplify right side
    3,699.89x = 16,821,722.36
  5. Step 5: Solve for x
    x = 16,821,722.36/3,699.89
  6. Step 6: Final answer
    x = 4,546.55

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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.