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Finding the Fourth Proportional to 5,654.53, 7,805.92 and 3,769.25

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Solution

The fourth proportional to 5,654.53, 7,805.92 and 3,769.25 is: 5,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.53 : 7,805.92 = 3,769.25 : x
  2. Step 2: Convert to fraction form
    5,654.53/7,805.92 = 3,769.25/x
  3. Step 3: Cross multiply
    5,654.53x = 7,805.92 × 3,769.25
  4. Step 4: Simplify right side
    5,654.53x = 29,422,454.54
  5. Step 5: Solve for x
    x = 29,422,454.54/5,654.53
  6. Step 6: Final answer
    x = 5,203.35

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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.