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Finding the Fourth Proportional to 5,274.19, 7,911.69 and 1,378.54

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Solution

The fourth proportional to 5,274.19, 7,911.69 and 1,378.54 is: 2,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.19 : 7,911.69 = 1,378.54 : x
  2. Step 2: Convert to fraction form
    5,274.19/7,911.69 = 1,378.54/x
  3. Step 3: Cross multiply
    5,274.19x = 7,911.69 × 1,378.54
  4. Step 4: Simplify right side
    5,274.19x = 10,906,581.13
  5. Step 5: Solve for x
    x = 10,906,581.13/5,274.19
  6. Step 6: Final answer
    x = 2,067.92

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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.