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Finding the Fourth Proportional to 6,059.82, 9,072.78 and 3,276.50

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Solution

The fourth proportional to 6,059.82, 9,072.78 and 3,276.50 is: 4,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.82 : 9,072.78 = 3,276.50 : x
  2. Step 2: Convert to fraction form
    6,059.82/9,072.78 = 3,276.50/x
  3. Step 3: Cross multiply
    6,059.82x = 9,072.78 × 3,276.50
  4. Step 4: Simplify right side
    6,059.82x = 29,726,963.67
  5. Step 5: Solve for x
    x = 29,726,963.67/6,059.82
  6. Step 6: Final answer
    x = 4,905.59

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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.