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Finding the Fourth Proportional to 5,224.92, 7,837.42 and 1,329.32

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Solution

The fourth proportional to 5,224.92, 7,837.42 and 1,329.32 is: 1,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.92 : 7,837.42 = 1,329.32 : x
  2. Step 2: Convert to fraction form
    5,224.92/7,837.42 = 1,329.32/x
  3. Step 3: Cross multiply
    5,224.92x = 7,837.42 × 1,329.32
  4. Step 4: Simplify right side
    5,224.92x = 10,418,439.15
  5. Step 5: Solve for x
    x = 10,418,439.15/5,224.92
  6. Step 6: Final answer
    x = 1,993.99

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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.