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Finding the Fourth Proportional to 5,742.44, 8,606.73 and 2,967.62

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Solution

The fourth proportional to 5,742.44, 8,606.73 and 2,967.62 is: 4,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.44 : 8,606.73 = 2,967.62 : x
  2. Step 2: Convert to fraction form
    5,742.44/8,606.73 = 2,967.62/x
  3. Step 3: Cross multiply
    5,742.44x = 8,606.73 × 2,967.62
  4. Step 4: Simplify right side
    5,742.44x = 25,541,461.05
  5. Step 5: Solve for x
    x = 25,541,461.05/5,742.44
  6. Step 6: Final answer
    x = 4,447.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.