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Finding the Fourth Proportional to 3,902.43, 5,856.02 and 2,054.86

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Solution

The fourth proportional to 3,902.43, 5,856.02 and 2,054.86 is: 3,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.43 : 5,856.02 = 2,054.86 : x
  2. Step 2: Convert to fraction form
    3,902.43/5,856.02 = 2,054.86/x
  3. Step 3: Cross multiply
    3,902.43x = 5,856.02 × 2,054.86
  4. Step 4: Simplify right side
    3,902.43x = 12,033,301.26
  5. Step 5: Solve for x
    x = 12,033,301.26/3,902.43
  6. Step 6: Final answer
    x = 3,083.54

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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.