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Finding the Fourth Proportional to 3,902.58, 5,856.25 and 2,055.02

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Solution

The fourth proportional to 3,902.58, 5,856.25 and 2,055.02 is: 3,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,856.25 = 2,055.02 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,856.25 = 2,055.02/x
  3. Step 3: Cross multiply
    3,902.58x = 5,856.25 × 2,055.02
  4. Step 4: Simplify right side
    3,902.58x = 12,034,713.25
  5. Step 5: Solve for x
    x = 12,034,713.25/3,902.58
  6. Step 6: Final answer
    x = 3,083.78

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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.