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Finding the Fourth Proportional to 5,648.86, 7,791.14 and 4,949.02

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Solution

The fourth proportional to 5,648.86, 7,791.14 and 4,949.02 is: 6,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.86 : 7,791.14 = 4,949.02 : x
  2. Step 2: Convert to fraction form
    5,648.86/7,791.14 = 4,949.02/x
  3. Step 3: Cross multiply
    5,648.86x = 7,791.14 × 4,949.02
  4. Step 4: Simplify right side
    5,648.86x = 38,558,507.68
  5. Step 5: Solve for x
    x = 38,558,507.68/5,648.86
  6. Step 6: Final answer
    x = 6,825.89

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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.