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Finding the Fourth Proportional to 5,614.44, 7,749.72 and 3,727.68

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Solution

The fourth proportional to 5,614.44, 7,749.72 and 3,727.68 is: 5,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.44 : 7,749.72 = 3,727.68 : x
  2. Step 2: Convert to fraction form
    5,614.44/7,749.72 = 3,727.68/x
  3. Step 3: Cross multiply
    5,614.44x = 7,749.72 × 3,727.68
  4. Step 4: Simplify right side
    5,614.44x = 28,888,476.25
  5. Step 5: Solve for x
    x = 28,888,476.25/5,614.44
  6. Step 6: Final answer
    x = 5,145.39

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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.