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Finding the Fourth Proportional to 5,304.69, 7,944.92 and 2,533.31

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Solution

The fourth proportional to 5,304.69, 7,944.92 and 2,533.31 is: 3,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.69 : 7,944.92 = 2,533.31 : x
  2. Step 2: Convert to fraction form
    5,304.69/7,944.92 = 2,533.31/x
  3. Step 3: Cross multiply
    5,304.69x = 7,944.92 × 2,533.31
  4. Step 4: Simplify right side
    5,304.69x = 20,126,952.48
  5. Step 5: Solve for x
    x = 20,126,952.48/5,304.69
  6. Step 6: Final answer
    x = 3,794.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.