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Finding the Fourth Proportional to 3,488.94, 5,207.69 and 3,196.67

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Solution

The fourth proportional to 3,488.94, 5,207.69 and 3,196.67 is: 4,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.94 : 5,207.69 = 3,196.67 : x
  2. Step 2: Convert to fraction form
    3,488.94/5,207.69 = 3,196.67/x
  3. Step 3: Cross multiply
    3,488.94x = 5,207.69 × 3,196.67
  4. Step 4: Simplify right side
    3,488.94x = 16,647,248.35
  5. Step 5: Solve for x
    x = 16,647,248.35/3,488.94
  6. Step 6: Final answer
    x = 4,771.43

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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.