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Finding the Fourth Proportional to 6,580.31, 9,080.63 and 3,929.49

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Solution

The fourth proportional to 6,580.31, 9,080.63 and 3,929.49 is: 5,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.31 : 9,080.63 = 3,929.49 : x
  2. Step 2: Convert to fraction form
    6,580.31/9,080.63 = 3,929.49/x
  3. Step 3: Cross multiply
    6,580.31x = 9,080.63 × 3,929.49
  4. Step 4: Simplify right side
    6,580.31x = 35,682,244.78
  5. Step 5: Solve for x
    x = 35,682,244.78/6,580.31
  6. Step 6: Final answer
    x = 5,422.58

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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.