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Finding the Fourth Proportional to 5,771.16, 7,963.86 and 3,253.38

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Solution

The fourth proportional to 5,771.16, 7,963.86 and 3,253.38 is: 4,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.16 : 7,963.86 = 3,253.38 : x
  2. Step 2: Convert to fraction form
    5,771.16/7,963.86 = 3,253.38/x
  3. Step 3: Cross multiply
    5,771.16x = 7,963.86 × 3,253.38
  4. Step 4: Simplify right side
    5,771.16x = 25,909,462.85
  5. Step 5: Solve for x
    x = 25,909,462.85/5,771.16
  6. Step 6: Final answer
    x = 4,489.47

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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.