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Finding the Fourth Proportional to 5,654.90, 7,806.44 and 3,769.63

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Solution

The fourth proportional to 5,654.90, 7,806.44 and 3,769.63 is: 5,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.90 : 7,806.44 = 3,769.63 : x
  2. Step 2: Convert to fraction form
    5,654.90/7,806.44 = 3,769.63/x
  3. Step 3: Cross multiply
    5,654.90x = 7,806.44 × 3,769.63
  4. Step 4: Simplify right side
    5,654.90x = 29,427,332.54
  5. Step 5: Solve for x
    x = 29,427,332.54/5,654.90
  6. Step 6: Final answer
    x = 5,203.86

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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.