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Finding the Fourth Proportional to 4,522.47, 6,794.10 and 3,209.49

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Solution

The fourth proportional to 4,522.47, 6,794.10 and 3,209.49 is: 4,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.47 : 6,794.10 = 3,209.49 : x
  2. Step 2: Convert to fraction form
    4,522.47/6,794.10 = 3,209.49/x
  3. Step 3: Cross multiply
    4,522.47x = 6,794.10 × 3,209.49
  4. Step 4: Simplify right side
    4,522.47x = 21,805,596.01
  5. Step 5: Solve for x
    x = 21,805,596.01/4,522.47
  6. Step 6: Final answer
    x = 4,821.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.