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Finding the Fourth Proportional to 3,803.20, 5,704.80 and 3,778.90

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Solution

The fourth proportional to 3,803.20, 5,704.80 and 3,778.90 is: 5,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.20 : 5,704.80 = 3,778.90 : x
  2. Step 2: Convert to fraction form
    3,803.20/5,704.80 = 3,778.90/x
  3. Step 3: Cross multiply
    3,803.20x = 5,704.80 × 3,778.90
  4. Step 4: Simplify right side
    3,803.20x = 21,557,868.72
  5. Step 5: Solve for x
    x = 21,557,868.72/3,803.20
  6. Step 6: Final answer
    x = 5,668.35

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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.