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Finding the Fourth Proportional to 5,262.14, 7,893.81 and 2,449.52

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Solution

The fourth proportional to 5,262.14, 7,893.81 and 2,449.52 is: 3,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.14 : 7,893.81 = 2,449.52 : x
  2. Step 2: Convert to fraction form
    5,262.14/7,893.81 = 2,449.52/x
  3. Step 3: Cross multiply
    5,262.14x = 7,893.81 × 2,449.52
  4. Step 4: Simplify right side
    5,262.14x = 19,336,025.06
  5. Step 5: Solve for x
    x = 19,336,025.06/5,262.14
  6. Step 6: Final answer
    x = 3,674.56

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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.