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Finding the Fourth Proportional to 4,164.71, 6,216.68 and 3,639.23

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Solution

The fourth proportional to 4,164.71, 6,216.68 and 3,639.23 is: 5,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.71 : 6,216.68 = 3,639.23 : x
  2. Step 2: Convert to fraction form
    4,164.71/6,216.68 = 3,639.23/x
  3. Step 3: Cross multiply
    4,164.71x = 6,216.68 × 3,639.23
  4. Step 4: Simplify right side
    4,164.71x = 22,623,879.08
  5. Step 5: Solve for x
    x = 22,623,879.08/4,164.71
  6. Step 6: Final answer
    x = 5,432.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.