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Finding the Fourth Proportional to 6,031.44, 8,322 and 3,672

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Solution

The fourth proportional to 6,031.44, 8,322 and 3,672 is: 5,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.44 : 8,322 = 3,672 : x
  2. Step 2: Convert to fraction form
    6,031.44/8,322 = 3,672/x
  3. Step 3: Cross multiply
    6,031.44x = 8,322 × 3,672
  4. Step 4: Simplify right side
    6,031.44x = 30,558,384
  5. Step 5: Solve for x
    x = 30,558,384/6,031.44
  6. Step 6: Final answer
    x = 5,066.52

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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.