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Finding the Fourth Proportional to 4,443, 6,663.24 and 1,842.72

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Solution

The fourth proportional to 4,443, 6,663.24 and 1,842.72 is: 2,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443 : 6,663.24 = 1,842.72 : x
  2. Step 2: Convert to fraction form
    4,443/6,663.24 = 1,842.72/x
  3. Step 3: Cross multiply
    4,443x = 6,663.24 × 1,842.72
  4. Step 4: Simplify right side
    4,443x = 12,278,485.61
  5. Step 5: Solve for x
    x = 12,278,485.61/4,443
  6. Step 6: Final answer
    x = 2,763.56

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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.