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Finding the Fourth Proportional to 4,753.96, 7,131.42 and 1,633.96

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Solution

The fourth proportional to 4,753.96, 7,131.42 and 1,633.96 is: 2,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.96 : 7,131.42 = 1,633.96 : x
  2. Step 2: Convert to fraction form
    4,753.96/7,131.42 = 1,633.96/x
  3. Step 3: Cross multiply
    4,753.96x = 7,131.42 × 1,633.96
  4. Step 4: Simplify right side
    4,753.96x = 11,652,455.02
  5. Step 5: Solve for x
    x = 11,652,455.02/4,753.96
  6. Step 6: Final answer
    x = 2,451.10

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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.