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Finding the Fourth Proportional to 4,696.14, 7,044.36 and 2,229.68

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Solution

The fourth proportional to 4,696.14, 7,044.36 and 2,229.68 is: 3,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.14 : 7,044.36 = 2,229.68 : x
  2. Step 2: Convert to fraction form
    4,696.14/7,044.36 = 2,229.68/x
  3. Step 3: Cross multiply
    4,696.14x = 7,044.36 × 2,229.68
  4. Step 4: Simplify right side
    4,696.14x = 15,706,668.60
  5. Step 5: Solve for x
    x = 15,706,668.60/4,696.14
  6. Step 6: Final answer
    x = 3,344.59

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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.