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Finding the Fourth Proportional to 4,092.82, 6,139.19 and 2,705.85

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Solution

The fourth proportional to 4,092.82, 6,139.19 and 2,705.85 is: 4,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.82 : 6,139.19 = 2,705.85 : x
  2. Step 2: Convert to fraction form
    4,092.82/6,139.19 = 2,705.85/x
  3. Step 3: Cross multiply
    4,092.82x = 6,139.19 × 2,705.85
  4. Step 4: Simplify right side
    4,092.82x = 16,611,734.03
  5. Step 5: Solve for x
    x = 16,611,734.03/4,092.82
  6. Step 6: Final answer
    x = 4,058.75

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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.