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Finding the Fourth Proportional to 5,757.36, 8,623.08 and 5,489.52

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Solution

The fourth proportional to 5,757.36, 8,623.08 and 5,489.52 is: 8,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.36 : 8,623.08 = 5,489.52 : x
  2. Step 2: Convert to fraction form
    5,757.36/8,623.08 = 5,489.52/x
  3. Step 3: Cross multiply
    5,757.36x = 8,623.08 × 5,489.52
  4. Step 4: Simplify right side
    5,757.36x = 47,336,570.12
  5. Step 5: Solve for x
    x = 47,336,570.12/5,757.36
  6. Step 6: Final answer
    x = 8,221.92

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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.