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Finding the Fourth Proportional to 3,499.92, 4,825.89 and 2,614.23

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Solution

The fourth proportional to 3,499.92, 4,825.89 and 2,614.23 is: 3,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.92 : 4,825.89 = 2,614.23 : x
  2. Step 2: Convert to fraction form
    3,499.92/4,825.89 = 2,614.23/x
  3. Step 3: Cross multiply
    3,499.92x = 4,825.89 × 2,614.23
  4. Step 4: Simplify right side
    3,499.92x = 12,615,986.41
  5. Step 5: Solve for x
    x = 12,615,986.41/3,499.92
  6. Step 6: Final answer
    x = 3,604.65

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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.