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Finding the Fourth Proportional to 4,641.29, 6,949.38 and 3,399.29

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Solution

The fourth proportional to 4,641.29, 6,949.38 and 3,399.29 is: 5,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.29 : 6,949.38 = 3,399.29 : x
  2. Step 2: Convert to fraction form
    4,641.29/6,949.38 = 3,399.29/x
  3. Step 3: Cross multiply
    4,641.29x = 6,949.38 × 3,399.29
  4. Step 4: Simplify right side
    4,641.29x = 23,622,957.94
  5. Step 5: Solve for x
    x = 23,622,957.94/4,641.29
  6. Step 6: Final answer
    x = 5,089.74

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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.