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Finding the Fourth Proportional to 3,856.92, 5,784.33 and 1,083.42

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Solution

The fourth proportional to 3,856.92, 5,784.33 and 1,083.42 is: 1,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.92 : 5,784.33 = 1,083.42 : x
  2. Step 2: Convert to fraction form
    3,856.92/5,784.33 = 1,083.42/x
  3. Step 3: Cross multiply
    3,856.92x = 5,784.33 × 1,083.42
  4. Step 4: Simplify right side
    3,856.92x = 6,266,858.81
  5. Step 5: Solve for x
    x = 6,266,858.81/3,856.92
  6. Step 6: Final answer
    x = 1,624.84

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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.