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Finding the Fourth Proportional to 3,842.94, 5,758.83 and 2,086.46

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Solution

The fourth proportional to 3,842.94, 5,758.83 and 2,086.46 is: 3,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.94 : 5,758.83 = 2,086.46 : x
  2. Step 2: Convert to fraction form
    3,842.94/5,758.83 = 2,086.46/x
  3. Step 3: Cross multiply
    3,842.94x = 5,758.83 × 2,086.46
  4. Step 4: Simplify right side
    3,842.94x = 12,015,539.65
  5. Step 5: Solve for x
    x = 12,015,539.65/3,842.94
  6. Step 6: Final answer
    x = 3,126.65

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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.