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Finding the Fourth Proportional to 4,796.52, 7,195.77 and 2,023.20

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Solution

The fourth proportional to 4,796.52, 7,195.77 and 2,023.20 is: 3,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.52 : 7,195.77 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    4,796.52/7,195.77 = 2,023.20/x
  3. Step 3: Cross multiply
    4,796.52x = 7,195.77 × 2,023.20
  4. Step 4: Simplify right side
    4,796.52x = 14,558,499.85
  5. Step 5: Solve for x
    x = 14,558,499.85/4,796.52
  6. Step 6: Final answer
    x = 3,035.22

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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.