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Finding the Fourth Proportional to 4,107.07, 6,159.25 and 3,497.41

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Solution

The fourth proportional to 4,107.07, 6,159.25 and 3,497.41 is: 5,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.07 : 6,159.25 = 3,497.41 : x
  2. Step 2: Convert to fraction form
    4,107.07/6,159.25 = 3,497.41/x
  3. Step 3: Cross multiply
    4,107.07x = 6,159.25 × 3,497.41
  4. Step 4: Simplify right side
    4,107.07x = 21,541,422.54
  5. Step 5: Solve for x
    x = 21,541,422.54/4,107.07
  6. Step 6: Final answer
    x = 5,244.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.