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Finding the Fourth Proportional to 4,138.07, 6,208.09 and 2,189.84

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Solution

The fourth proportional to 4,138.07, 6,208.09 and 2,189.84 is: 3,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.07 : 6,208.09 = 2,189.84 : x
  2. Step 2: Convert to fraction form
    4,138.07/6,208.09 = 2,189.84/x
  3. Step 3: Cross multiply
    4,138.07x = 6,208.09 × 2,189.84
  4. Step 4: Simplify right side
    4,138.07x = 13,594,687.29
  5. Step 5: Solve for x
    x = 13,594,687.29/4,138.07
  6. Step 6: Final answer
    x = 3,285.28

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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.