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Finding the Fourth Proportional to 4,224.72, 6,338.12 and 1,451.43

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Solution

The fourth proportional to 4,224.72, 6,338.12 and 1,451.43 is: 2,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.72 : 6,338.12 = 1,451.43 : x
  2. Step 2: Convert to fraction form
    4,224.72/6,338.12 = 1,451.43/x
  3. Step 3: Cross multiply
    4,224.72x = 6,338.12 × 1,451.43
  4. Step 4: Simplify right side
    4,224.72x = 9,199,342.23
  5. Step 5: Solve for x
    x = 9,199,342.23/4,224.72
  6. Step 6: Final answer
    x = 2,177.50

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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.