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Finding the Fourth Proportional to 3,581.62, 4,942.84 and 2,009.68

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Solution

The fourth proportional to 3,581.62, 4,942.84 and 2,009.68 is: 2,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.62 : 4,942.84 = 2,009.68 : x
  2. Step 2: Convert to fraction form
    3,581.62/4,942.84 = 2,009.68/x
  3. Step 3: Cross multiply
    3,581.62x = 4,942.84 × 2,009.68
  4. Step 4: Simplify right side
    3,581.62x = 9,933,526.69
  5. Step 5: Solve for x
    x = 9,933,526.69/3,581.62
  6. Step 6: Final answer
    x = 2,773.47

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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.