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Finding the Fourth Proportional to 4,079.65, 6,105.97 and 3,509.41

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Solution

The fourth proportional to 4,079.65, 6,105.97 and 3,509.41 is: 5,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.65 : 6,105.97 = 3,509.41 : x
  2. Step 2: Convert to fraction form
    4,079.65/6,105.97 = 3,509.41/x
  3. Step 3: Cross multiply
    4,079.65x = 6,105.97 × 3,509.41
  4. Step 4: Simplify right side
    4,079.65x = 21,428,352.18
  5. Step 5: Solve for x
    x = 21,428,352.18/4,079.65
  6. Step 6: Final answer
    x = 5,252.50

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Why These Related Problems?

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