Home / 5,268-7,896.24-2,342.16

Finding the Fourth Proportional to 5,268, 7,896.24 and 2,342.16

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Solution

The fourth proportional to 5,268, 7,896.24 and 2,342.16 is: 3,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 7,896.24 = 2,342.16 : x
  2. Step 2: Convert to fraction form
    5,268/7,896.24 = 2,342.16/x
  3. Step 3: Cross multiply
    5,268x = 7,896.24 × 2,342.16
  4. Step 4: Simplify right side
    5,268x = 18,494,257.48
  5. Step 5: Solve for x
    x = 18,494,257.48/5,268
  6. Step 6: Final answer
    x = 3,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.