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Finding the Fourth Proportional to 6,720.49, 9,274.44 and 3,736.45

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Solution

The fourth proportional to 6,720.49, 9,274.44 and 3,736.45 is: 5,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.49 : 9,274.44 = 3,736.45 : x
  2. Step 2: Convert to fraction form
    6,720.49/9,274.44 = 3,736.45/x
  3. Step 3: Cross multiply
    6,720.49x = 9,274.44 × 3,736.45
  4. Step 4: Simplify right side
    6,720.49x = 34,653,481.34
  5. Step 5: Solve for x
    x = 34,653,481.34/6,720.49
  6. Step 6: Final answer
    x = 5,156.39

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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.