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Finding the Fourth Proportional to 5,197.52, 7,796.22 and 4,484

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Solution

The fourth proportional to 5,197.52, 7,796.22 and 4,484 is: 6,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.52 : 7,796.22 = 4,484 : x
  2. Step 2: Convert to fraction form
    5,197.52/7,796.22 = 4,484/x
  3. Step 3: Cross multiply
    5,197.52x = 7,796.22 × 4,484
  4. Step 4: Simplify right side
    5,197.52x = 34,958,250.48
  5. Step 5: Solve for x
    x = 34,958,250.48/5,197.52
  6. Step 6: Final answer
    x = 6,725.95

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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.