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Finding the Fourth Proportional to 3,678.66, 5,067.96 and 3,011.62

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Solution

The fourth proportional to 3,678.66, 5,067.96 and 3,011.62 is: 4,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.66 : 5,067.96 = 3,011.62 : x
  2. Step 2: Convert to fraction form
    3,678.66/5,067.96 = 3,011.62/x
  3. Step 3: Cross multiply
    3,678.66x = 5,067.96 × 3,011.62
  4. Step 4: Simplify right side
    3,678.66x = 15,262,769.70
  5. Step 5: Solve for x
    x = 15,262,769.70/3,678.66
  6. Step 6: Final answer
    x = 4,149.00

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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.