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Finding the Fourth Proportional to 5,225.88, 7,837.24 and 2,104.88

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Solution

The fourth proportional to 5,225.88, 7,837.24 and 2,104.88 is: 3,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.88 : 7,837.24 = 2,104.88 : x
  2. Step 2: Convert to fraction form
    5,225.88/7,837.24 = 2,104.88/x
  3. Step 3: Cross multiply
    5,225.88x = 7,837.24 × 2,104.88
  4. Step 4: Simplify right side
    5,225.88x = 16,496,449.73
  5. Step 5: Solve for x
    x = 16,496,449.73/5,225.88
  6. Step 6: Final answer
    x = 3,156.68

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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.