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Finding the Fourth Proportional to 3,516.44, 5,274.72 and 919.44

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Solution

The fourth proportional to 3,516.44, 5,274.72 and 919.44 is: 1,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.44 : 5,274.72 = 919.44 : x
  2. Step 2: Convert to fraction form
    3,516.44/5,274.72 = 919.44/x
  3. Step 3: Cross multiply
    3,516.44x = 5,274.72 × 919.44
  4. Step 4: Simplify right side
    3,516.44x = 4,849,788.56
  5. Step 5: Solve for x
    x = 4,849,788.56/3,516.44
  6. Step 6: Final answer
    x = 1,379.18

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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.