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Finding the Fourth Proportional to 4,797.47, 7,163.82 and 3,921.68

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Solution

The fourth proportional to 4,797.47, 7,163.82 and 3,921.68 is: 5,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.47 : 7,163.82 = 3,921.68 : x
  2. Step 2: Convert to fraction form
    4,797.47/7,163.82 = 3,921.68/x
  3. Step 3: Cross multiply
    4,797.47x = 7,163.82 × 3,921.68
  4. Step 4: Simplify right side
    4,797.47x = 28,094,173.80
  5. Step 5: Solve for x
    x = 28,094,173.80/4,797.47
  6. Step 6: Final answer
    x = 5,856.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.