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Finding the Fourth Proportional to 3,778.17, 5,668.71 and 1,438.80

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Solution

The fourth proportional to 3,778.17, 5,668.71 and 1,438.80 is: 2,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.17 : 5,668.71 = 1,438.80 : x
  2. Step 2: Convert to fraction form
    3,778.17/5,668.71 = 1,438.80/x
  3. Step 3: Cross multiply
    3,778.17x = 5,668.71 × 1,438.80
  4. Step 4: Simplify right side
    3,778.17x = 8,156,139.95
  5. Step 5: Solve for x
    x = 8,156,139.95/3,778.17
  6. Step 6: Final answer
    x = 2,158.75

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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.