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Finding the Fourth Proportional to 3,808.82, 5,709.31 and 1,730.27

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Solution

The fourth proportional to 3,808.82, 5,709.31 and 1,730.27 is: 2,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.82 : 5,709.31 = 1,730.27 : x
  2. Step 2: Convert to fraction form
    3,808.82/5,709.31 = 1,730.27/x
  3. Step 3: Cross multiply
    3,808.82x = 5,709.31 × 1,730.27
  4. Step 4: Simplify right side
    3,808.82x = 9,878,647.81
  5. Step 5: Solve for x
    x = 9,878,647.81/3,808.82
  6. Step 6: Final answer
    x = 2,593.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.