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Finding the Fourth Proportional to 3,247, 4,871.28 and 938.48

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Solution

The fourth proportional to 3,247, 4,871.28 and 938.48 is: 1,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247 : 4,871.28 = 938.48 : x
  2. Step 2: Convert to fraction form
    3,247/4,871.28 = 938.48/x
  3. Step 3: Cross multiply
    3,247x = 4,871.28 × 938.48
  4. Step 4: Simplify right side
    3,247x = 4,571,598.85
  5. Step 5: Solve for x
    x = 4,571,598.85/3,247
  6. Step 6: Final answer
    x = 1,407.95

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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.