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Finding the Fourth Proportional to 5,286.96, 7,928.36 and 1,954.16

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Solution

The fourth proportional to 5,286.96, 7,928.36 and 1,954.16 is: 2,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.96 : 7,928.36 = 1,954.16 : x
  2. Step 2: Convert to fraction form
    5,286.96/7,928.36 = 1,954.16/x
  3. Step 3: Cross multiply
    5,286.96x = 7,928.36 × 1,954.16
  4. Step 4: Simplify right side
    5,286.96x = 15,493,283.98
  5. Step 5: Solve for x
    x = 15,493,283.98/5,286.96
  6. Step 6: Final answer
    x = 2,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.