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Finding the Fourth Proportional to 3,516.14, 5,273.80 and 919.28

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Solution

The fourth proportional to 3,516.14, 5,273.80 and 919.28 is: 1,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.14 : 5,273.80 = 919.28 : x
  2. Step 2: Convert to fraction form
    3,516.14/5,273.80 = 919.28/x
  3. Step 3: Cross multiply
    3,516.14x = 5,273.80 × 919.28
  4. Step 4: Simplify right side
    3,516.14x = 4,848,098.86
  5. Step 5: Solve for x
    x = 4,848,098.86/3,516.14
  6. Step 6: Final answer
    x = 1,378.81

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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.