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Finding the Fourth Proportional to 3,782.25, 5,219.13 and 2,289.63

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Solution

The fourth proportional to 3,782.25, 5,219.13 and 2,289.63 is: 3,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,219.13 = 2,289.63 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,219.13 = 2,289.63/x
  3. Step 3: Cross multiply
    3,782.25x = 5,219.13 × 2,289.63
  4. Step 4: Simplify right side
    3,782.25x = 11,949,876.62
  5. Step 5: Solve for x
    x = 11,949,876.62/3,782.25
  6. Step 6: Final answer
    x = 3,159.46

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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.