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Finding the Fourth Proportional to 4,138.57, 6,208.73 and 1,216.63

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Solution

The fourth proportional to 4,138.57, 6,208.73 and 1,216.63 is: 1,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.57 : 6,208.73 = 1,216.63 : x
  2. Step 2: Convert to fraction form
    4,138.57/6,208.73 = 1,216.63/x
  3. Step 3: Cross multiply
    4,138.57x = 6,208.73 × 1,216.63
  4. Step 4: Simplify right side
    4,138.57x = 7,553,727.18
  5. Step 5: Solve for x
    x = 7,553,727.18/4,138.57
  6. Step 6: Final answer
    x = 1,825.20

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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.