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Finding the Fourth Proportional to 6,580.43, 9,080.98 and 3,747.66

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Solution

The fourth proportional to 6,580.43, 9,080.98 and 3,747.66 is: 5,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.43 : 9,080.98 = 3,747.66 : x
  2. Step 2: Convert to fraction form
    6,580.43/9,080.98 = 3,747.66/x
  3. Step 3: Cross multiply
    6,580.43x = 9,080.98 × 3,747.66
  4. Step 4: Simplify right side
    6,580.43x = 34,032,425.51
  5. Step 5: Solve for x
    x = 34,032,425.51/6,580.43
  6. Step 6: Final answer
    x = 5,171.76

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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.