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Finding the Fourth Proportional to 4,968, 7,452 and 2,232

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Solution

The fourth proportional to 4,968, 7,452 and 2,232 is: 3,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 7,452 = 2,232 : x
  2. Step 2: Convert to fraction form
    4,968/7,452 = 2,232/x
  3. Step 3: Cross multiply
    4,968x = 7,452 × 2,232
  4. Step 4: Simplify right side
    4,968x = 16,632,864
  5. Step 5: Solve for x
    x = 16,632,864/4,968
  6. Step 6: Final answer
    x = 3,348

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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.