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Finding the Fourth Proportional to 3,782.71, 5,216.80 and 2,456.83

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Solution

The fourth proportional to 3,782.71, 5,216.80 and 2,456.83 is: 3,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.71 : 5,216.80 = 2,456.83 : x
  2. Step 2: Convert to fraction form
    3,782.71/5,216.80 = 2,456.83/x
  3. Step 3: Cross multiply
    3,782.71x = 5,216.80 × 2,456.83
  4. Step 4: Simplify right side
    3,782.71x = 12,816,790.74
  5. Step 5: Solve for x
    x = 12,816,790.74/3,782.71
  6. Step 6: Final answer
    x = 3,388.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.