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Finding the Fourth Proportional to 3,840.94, 5,759.58 and 2,083.14

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Solution

The fourth proportional to 3,840.94, 5,759.58 and 2,083.14 is: 3,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.94 : 5,759.58 = 2,083.14 : x
  2. Step 2: Convert to fraction form
    3,840.94/5,759.58 = 2,083.14/x
  3. Step 3: Cross multiply
    3,840.94x = 5,759.58 × 2,083.14
  4. Step 4: Simplify right side
    3,840.94x = 11,998,011.48
  5. Step 5: Solve for x
    x = 11,998,011.48/3,840.94
  6. Step 6: Final answer
    x = 3,123.72

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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.