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Finding the Fourth Proportional to 6,586.02, 9,087.12 and 3,791.52

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Solution

The fourth proportional to 6,586.02, 9,087.12 and 3,791.52 is: 5,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.02 : 9,087.12 = 3,791.52 : x
  2. Step 2: Convert to fraction form
    6,586.02/9,087.12 = 3,791.52/x
  3. Step 3: Cross multiply
    6,586.02x = 9,087.12 × 3,791.52
  4. Step 4: Simplify right side
    6,586.02x = 34,453,997.22
  5. Step 5: Solve for x
    x = 34,453,997.22/6,586.02
  6. Step 6: Final answer
    x = 5,231.38

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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.