Home / 5,232-7,838.24-3,767.52

Finding the Fourth Proportional to 5,232, 7,838.24 and 3,767.52

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Solution

The fourth proportional to 5,232, 7,838.24 and 3,767.52 is: 5,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232 : 7,838.24 = 3,767.52 : x
  2. Step 2: Convert to fraction form
    5,232/7,838.24 = 3,767.52/x
  3. Step 3: Cross multiply
    5,232x = 7,838.24 × 3,767.52
  4. Step 4: Simplify right side
    5,232x = 29,530,725.96
  5. Step 5: Solve for x
    x = 29,530,725.96/5,232
  6. Step 6: Final answer
    x = 5,644.25

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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.