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Finding the Fourth Proportional to 3,782.77, 5,218.83 and 2,290.14

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Solution

The fourth proportional to 3,782.77, 5,218.83 and 2,290.14 is: 3,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.77 : 5,218.83 = 2,290.14 : x
  2. Step 2: Convert to fraction form
    3,782.77/5,218.83 = 2,290.14/x
  3. Step 3: Cross multiply
    3,782.77x = 5,218.83 × 2,290.14
  4. Step 4: Simplify right side
    3,782.77x = 11,951,851.34
  5. Step 5: Solve for x
    x = 11,951,851.34/3,782.77
  6. Step 6: Final answer
    x = 3,159.55

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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.