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Finding the Fourth Proportional to 3,782.69, 5,218.86 and 2,290.04

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Solution

The fourth proportional to 3,782.69, 5,218.86 and 2,290.04 is: 3,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.69 : 5,218.86 = 2,290.04 : x
  2. Step 2: Convert to fraction form
    3,782.69/5,218.86 = 2,290.04/x
  3. Step 3: Cross multiply
    3,782.69x = 5,218.86 × 2,290.04
  4. Step 4: Simplify right side
    3,782.69x = 11,951,398.15
  5. Step 5: Solve for x
    x = 11,951,398.15/3,782.69
  6. Step 6: Final answer
    x = 3,159.50

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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.