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Finding the Fourth Proportional to 5,540.61, 7,644.63 and 3,749.01

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Solution

The fourth proportional to 5,540.61, 7,644.63 and 3,749.01 is: 5,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.61 : 7,644.63 = 3,749.01 : x
  2. Step 2: Convert to fraction form
    5,540.61/7,644.63 = 3,749.01/x
  3. Step 3: Cross multiply
    5,540.61x = 7,644.63 × 3,749.01
  4. Step 4: Simplify right side
    5,540.61x = 28,659,794.32
  5. Step 5: Solve for x
    x = 28,659,794.32/5,540.61
  6. Step 6: Final answer
    x = 5,172.68

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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.