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Finding the Fourth Proportional to 3,488.64, 5,204.66 and 3,202.88

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Solution

The fourth proportional to 3,488.64, 5,204.66 and 3,202.88 is: 4,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.64 : 5,204.66 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    3,488.64/5,204.66 = 3,202.88/x
  3. Step 3: Cross multiply
    3,488.64x = 5,204.66 × 3,202.88
  4. Step 4: Simplify right side
    3,488.64x = 16,669,859.38
  5. Step 5: Solve for x
    x = 16,669,859.38/3,488.64
  6. Step 6: Final answer
    x = 4,778.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.