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Finding the Fourth Proportional to 5,224.52, 7,836.81 and 1,328.93

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Solution

The fourth proportional to 5,224.52, 7,836.81 and 1,328.93 is: 1,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.52 : 7,836.81 = 1,328.93 : x
  2. Step 2: Convert to fraction form
    5,224.52/7,836.81 = 1,328.93/x
  3. Step 3: Cross multiply
    5,224.52x = 7,836.81 × 1,328.93
  4. Step 4: Simplify right side
    5,224.52x = 10,414,571.91
  5. Step 5: Solve for x
    x = 10,414,571.91/5,224.52
  6. Step 6: Final answer
    x = 1,993.40

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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.