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Finding the Fourth Proportional to 5,644, 7,786.92 and 3,656.08

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Solution

The fourth proportional to 5,644, 7,786.92 and 3,656.08 is: 5,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 7,786.92 = 3,656.08 : x
  2. Step 2: Convert to fraction form
    5,644/7,786.92 = 3,656.08/x
  3. Step 3: Cross multiply
    5,644x = 7,786.92 × 3,656.08
  4. Step 4: Simplify right side
    5,644x = 28,469,602.47
  5. Step 5: Solve for x
    x = 28,469,602.47/5,644
  6. Step 6: Final answer
    x = 5,044.22

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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.