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Finding the Fourth Proportional to 5,996, 8,274.48 and 3,513.44

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Solution

The fourth proportional to 5,996, 8,274.48 and 3,513.44 is: 4,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,274.48 = 3,513.44 : x
  2. Step 2: Convert to fraction form
    5,996/8,274.48 = 3,513.44/x
  3. Step 3: Cross multiply
    5,996x = 8,274.48 × 3,513.44
  4. Step 4: Simplify right side
    5,996x = 29,071,889.01
  5. Step 5: Solve for x
    x = 29,071,889.01/5,996
  6. Step 6: Final answer
    x = 4,848.55

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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.