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Finding the Fourth Proportional to 3,516.24, 5,274.36 and 919.16

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Solution

The fourth proportional to 3,516.24, 5,274.36 and 919.16 is: 1,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.24 : 5,274.36 = 919.16 : x
  2. Step 2: Convert to fraction form
    3,516.24/5,274.36 = 919.16/x
  3. Step 3: Cross multiply
    3,516.24x = 5,274.36 × 919.16
  4. Step 4: Simplify right side
    3,516.24x = 4,847,954.37
  5. Step 5: Solve for x
    x = 4,847,954.37/3,516.24
  6. Step 6: Final answer
    x = 1,378.73

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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.