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Finding the Fourth Proportional to 6,580.26, 9,080.37 and 3,747.24

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Solution

The fourth proportional to 6,580.26, 9,080.37 and 3,747.24 is: 5,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.26 : 9,080.37 = 3,747.24 : x
  2. Step 2: Convert to fraction form
    6,580.26/9,080.37 = 3,747.24/x
  3. Step 3: Cross multiply
    6,580.26x = 9,080.37 × 3,747.24
  4. Step 4: Simplify right side
    6,580.26x = 34,026,325.68
  5. Step 5: Solve for x
    x = 34,026,325.68/6,580.26
  6. Step 6: Final answer
    x = 5,170.97

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