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Finding the Fourth Proportional to 3,825.92, 5,730.88 and 2,286.08

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Solution

The fourth proportional to 3,825.92, 5,730.88 and 2,286.08 is: 3,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.92 : 5,730.88 = 2,286.08 : x
  2. Step 2: Convert to fraction form
    3,825.92/5,730.88 = 2,286.08/x
  3. Step 3: Cross multiply
    3,825.92x = 5,730.88 × 2,286.08
  4. Step 4: Simplify right side
    3,825.92x = 13,101,250.15
  5. Step 5: Solve for x
    x = 13,101,250.15/3,825.92
  6. Step 6: Final answer
    x = 3,424.34

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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.