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Finding the Fourth Proportional to 4,151.54, 6,217.79 and 4,059.20

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Solution

The fourth proportional to 4,151.54, 6,217.79 and 4,059.20 is: 6,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.54 : 6,217.79 = 4,059.20 : x
  2. Step 2: Convert to fraction form
    4,151.54/6,217.79 = 4,059.20/x
  3. Step 3: Cross multiply
    4,151.54x = 6,217.79 × 4,059.20
  4. Step 4: Simplify right side
    4,151.54x = 25,239,201.78
  5. Step 5: Solve for x
    x = 25,239,201.78/4,151.54
  6. Step 6: Final answer
    x = 6,079.49

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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.