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Finding the Fourth Proportional to 5,604.05, 7,736.38 and 4,342.25

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Solution

The fourth proportional to 5,604.05, 7,736.38 and 4,342.25 is: 5,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.05 : 7,736.38 = 4,342.25 : x
  2. Step 2: Convert to fraction form
    5,604.05/7,736.38 = 4,342.25/x
  3. Step 3: Cross multiply
    5,604.05x = 7,736.38 × 4,342.25
  4. Step 4: Simplify right side
    5,604.05x = 33,593,304.54
  5. Step 5: Solve for x
    x = 33,593,304.54/5,604.05
  6. Step 6: Final answer
    x = 5,994.47

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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.