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Finding the Fourth Proportional to 3,581.68, 4,942.88 and 2,009.76

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Solution

The fourth proportional to 3,581.68, 4,942.88 and 2,009.76 is: 2,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.68 : 4,942.88 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    3,581.68/4,942.88 = 2,009.76/x
  3. Step 3: Cross multiply
    3,581.68x = 4,942.88 × 2,009.76
  4. Step 4: Simplify right side
    3,581.68x = 9,934,002.51
  5. Step 5: Solve for x
    x = 9,934,002.51/3,581.68
  6. Step 6: Final answer
    x = 2,773.56

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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.