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Finding the Fourth Proportional to 4,665.53, 6,998.97 and 1,378.19

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Solution

The fourth proportional to 4,665.53, 6,998.97 and 1,378.19 is: 2,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.53 : 6,998.97 = 1,378.19 : x
  2. Step 2: Convert to fraction form
    4,665.53/6,998.97 = 1,378.19/x
  3. Step 3: Cross multiply
    4,665.53x = 6,998.97 × 1,378.19
  4. Step 4: Simplify right side
    4,665.53x = 9,645,910.46
  5. Step 5: Solve for x
    x = 9,645,910.46/4,665.53
  6. Step 6: Final answer
    x = 2,067.48

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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.