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Finding the Fourth Proportional to 3,902.96, 5,853.24 and 2,053.05

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Solution

The fourth proportional to 3,902.96, 5,853.24 and 2,053.05 is: 3,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,853.24 = 2,053.05 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,853.24 = 2,053.05/x
  3. Step 3: Cross multiply
    3,902.96x = 5,853.24 × 2,053.05
  4. Step 4: Simplify right side
    3,902.96x = 12,016,994.38
  5. Step 5: Solve for x
    x = 12,016,994.38/3,902.96
  6. Step 6: Final answer
    x = 3,078.95

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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.