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Finding the Fourth Proportional to 3,806.48, 5,251.64 and 2,313.92

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Solution

The fourth proportional to 3,806.48, 5,251.64 and 2,313.92 is: 3,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.48 : 5,251.64 = 2,313.92 : x
  2. Step 2: Convert to fraction form
    3,806.48/5,251.64 = 2,313.92/x
  3. Step 3: Cross multiply
    3,806.48x = 5,251.64 × 2,313.92
  4. Step 4: Simplify right side
    3,806.48x = 12,151,874.83
  5. Step 5: Solve for x
    x = 12,151,874.83/3,806.48
  6. Step 6: Final answer
    x = 3,192.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.