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Finding the Fourth Proportional to 4,138.04, 5,693.46 and 3,639.82

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Solution

The fourth proportional to 4,138.04, 5,693.46 and 3,639.82 is: 5,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.04 : 5,693.46 = 3,639.82 : x
  2. Step 2: Convert to fraction form
    4,138.04/5,693.46 = 3,639.82/x
  3. Step 3: Cross multiply
    4,138.04x = 5,693.46 × 3,639.82
  4. Step 4: Simplify right side
    4,138.04x = 20,723,169.58
  5. Step 5: Solve for x
    x = 20,723,169.58/4,138.04
  6. Step 6: Final answer
    x = 5,007.97

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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.