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Finding the Fourth Proportional to 6,087.50, 8,394.78 and 3,697.82

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Solution

The fourth proportional to 6,087.50, 8,394.78 and 3,697.82 is: 5,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.50 : 8,394.78 = 3,697.82 : x
  2. Step 2: Convert to fraction form
    6,087.50/8,394.78 = 3,697.82/x
  3. Step 3: Cross multiply
    6,087.50x = 8,394.78 × 3,697.82
  4. Step 4: Simplify right side
    6,087.50x = 31,042,385.38
  5. Step 5: Solve for x
    x = 31,042,385.38/6,087.50
  6. Step 6: Final answer
    x = 5,099.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.