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Finding the Fourth Proportional to 3,808.92, 5,707 and 2,344.96

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Solution

The fourth proportional to 3,808.92, 5,707 and 2,344.96 is: 3,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.92 : 5,707 = 2,344.96 : x
  2. Step 2: Convert to fraction form
    3,808.92/5,707 = 2,344.96/x
  3. Step 3: Cross multiply
    3,808.92x = 5,707 × 2,344.96
  4. Step 4: Simplify right side
    3,808.92x = 13,382,686.72
  5. Step 5: Solve for x
    x = 13,382,686.72/3,808.92
  6. Step 6: Final answer
    x = 3,513.51

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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.