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Finding the Fourth Proportional to 5,996, 8,275.20 and 3,512

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Solution

The fourth proportional to 5,996, 8,275.20 and 3,512 is: 4,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,275.20 = 3,512 : x
  2. Step 2: Convert to fraction form
    5,996/8,275.20 = 3,512/x
  3. Step 3: Cross multiply
    5,996x = 8,275.20 × 3,512
  4. Step 4: Simplify right side
    5,996x = 29,062,502.40
  5. Step 5: Solve for x
    x = 29,062,502.40/5,996
  6. Step 6: Final answer
    x = 4,846.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.