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Finding the Fourth Proportional to 5,171.34, 7,753.83 and 2,709.15

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Solution

The fourth proportional to 5,171.34, 7,753.83 and 2,709.15 is: 4,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.34 : 7,753.83 = 2,709.15 : x
  2. Step 2: Convert to fraction form
    5,171.34/7,753.83 = 2,709.15/x
  3. Step 3: Cross multiply
    5,171.34x = 7,753.83 × 2,709.15
  4. Step 4: Simplify right side
    5,171.34x = 21,006,249.31
  5. Step 5: Solve for x
    x = 21,006,249.31/5,171.34
  6. Step 6: Final answer
    x = 4,062.05

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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.