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Finding the Fourth Proportional to 3,778.40, 5,668.20 and 1,314.68

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Solution

The fourth proportional to 3,778.40, 5,668.20 and 1,314.68 is: 1,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.40 : 5,668.20 = 1,314.68 : x
  2. Step 2: Convert to fraction form
    3,778.40/5,668.20 = 1,314.68/x
  3. Step 3: Cross multiply
    3,778.40x = 5,668.20 × 1,314.68
  4. Step 4: Simplify right side
    3,778.40x = 7,451,869.18
  5. Step 5: Solve for x
    x = 7,451,869.18/3,778.40
  6. Step 6: Final answer
    x = 1,972.23

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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.