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Finding the Fourth Proportional to 4,119.98, 6,179.22 and 2,039.31

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Solution

The fourth proportional to 4,119.98, 6,179.22 and 2,039.31 is: 3,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.98 : 6,179.22 = 2,039.31 : x
  2. Step 2: Convert to fraction form
    4,119.98/6,179.22 = 2,039.31/x
  3. Step 3: Cross multiply
    4,119.98x = 6,179.22 × 2,039.31
  4. Step 4: Simplify right side
    4,119.98x = 12,601,345.14
  5. Step 5: Solve for x
    x = 12,601,345.14/4,119.98
  6. Step 6: Final answer
    x = 3,058.60

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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.