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Finding the Fourth Proportional to 4,151.56, 6,225.14 and 1,229.44

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Solution

The fourth proportional to 4,151.56, 6,225.14 and 1,229.44 is: 1,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.56 : 6,225.14 = 1,229.44 : x
  2. Step 2: Convert to fraction form
    4,151.56/6,225.14 = 1,229.44/x
  3. Step 3: Cross multiply
    4,151.56x = 6,225.14 × 1,229.44
  4. Step 4: Simplify right side
    4,151.56x = 7,653,436.12
  5. Step 5: Solve for x
    x = 7,653,436.12/4,151.56
  6. Step 6: Final answer
    x = 1,843.51

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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.