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Finding the Fourth Proportional to 3,782.29, 5,216.97 and 2,287.63

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Solution

The fourth proportional to 3,782.29, 5,216.97 and 2,287.63 is: 3,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.29 : 5,216.97 = 2,287.63 : x
  2. Step 2: Convert to fraction form
    3,782.29/5,216.97 = 2,287.63/x
  3. Step 3: Cross multiply
    3,782.29x = 5,216.97 × 2,287.63
  4. Step 4: Simplify right side
    3,782.29x = 11,934,497.08
  5. Step 5: Solve for x
    x = 11,934,497.08/3,782.29
  6. Step 6: Final answer
    x = 3,155.36

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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.