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Finding the Fourth Proportional to 3,810.20, 5,713.79 and 1,468.91

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Solution

The fourth proportional to 3,810.20, 5,713.79 and 1,468.91 is: 2,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.20 : 5,713.79 = 1,468.91 : x
  2. Step 2: Convert to fraction form
    3,810.20/5,713.79 = 1,468.91/x
  3. Step 3: Cross multiply
    3,810.20x = 5,713.79 × 1,468.91
  4. Step 4: Simplify right side
    3,810.20x = 8,393,043.27
  5. Step 5: Solve for x
    x = 8,393,043.27/3,810.20
  6. Step 6: Final answer
    x = 2,202.78

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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.