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Finding the Fourth Proportional to 3,581.64, 4,942.65 and 2,009.74

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Solution

The fourth proportional to 3,581.64, 4,942.65 and 2,009.74 is: 2,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.64 : 4,942.65 = 2,009.74 : x
  2. Step 2: Convert to fraction form
    3,581.64/4,942.65 = 2,009.74/x
  3. Step 3: Cross multiply
    3,581.64x = 4,942.65 × 2,009.74
  4. Step 4: Simplify right side
    3,581.64x = 9,933,441.41
  5. Step 5: Solve for x
    x = 9,933,441.41/3,581.64
  6. Step 6: Final answer
    x = 2,773.43

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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.