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Finding the Fourth Proportional to 4,782.24, 7,171.02 and 2,833.92

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Solution

The fourth proportional to 4,782.24, 7,171.02 and 2,833.92 is: 4,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.24 : 7,171.02 = 2,833.92 : x
  2. Step 2: Convert to fraction form
    4,782.24/7,171.02 = 2,833.92/x
  3. Step 3: Cross multiply
    4,782.24x = 7,171.02 × 2,833.92
  4. Step 4: Simplify right side
    4,782.24x = 20,322,097.00
  5. Step 5: Solve for x
    x = 20,322,097.00/4,782.24
  6. Step 6: Final answer
    x = 4,249.49

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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.