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Finding the Fourth Proportional to 4,494.11, 6,742.56 and 4,028.96

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Solution

The fourth proportional to 4,494.11, 6,742.56 and 4,028.96 is: 6,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.11 : 6,742.56 = 4,028.96 : x
  2. Step 2: Convert to fraction form
    4,494.11/6,742.56 = 4,028.96/x
  3. Step 3: Cross multiply
    4,494.11x = 6,742.56 × 4,028.96
  4. Step 4: Simplify right side
    4,494.11x = 27,165,470.82
  5. Step 5: Solve for x
    x = 27,165,470.82/4,494.11
  6. Step 6: Final answer
    x = 6,044.69

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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.