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Finding the Fourth Proportional to 4,516.07, 6,774.23 and 1,229.23

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Solution

The fourth proportional to 4,516.07, 6,774.23 and 1,229.23 is: 1,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.07 : 6,774.23 = 1,229.23 : x
  2. Step 2: Convert to fraction form
    4,516.07/6,774.23 = 1,229.23/x
  3. Step 3: Cross multiply
    4,516.07x = 6,774.23 × 1,229.23
  4. Step 4: Simplify right side
    4,516.07x = 8,327,086.74
  5. Step 5: Solve for x
    x = 8,327,086.74/4,516.07
  6. Step 6: Final answer
    x = 1,843.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.