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Finding the Fourth Proportional to 5,771.71, 7,962.18 and 3,781.39

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Solution

The fourth proportional to 5,771.71, 7,962.18 and 3,781.39 is: 5,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.71 : 7,962.18 = 3,781.39 : x
  2. Step 2: Convert to fraction form
    5,771.71/7,962.18 = 3,781.39/x
  3. Step 3: Cross multiply
    5,771.71x = 7,962.18 × 3,781.39
  4. Step 4: Simplify right side
    5,771.71x = 30,108,107.83
  5. Step 5: Solve for x
    x = 30,108,107.83/5,771.71
  6. Step 6: Final answer
    x = 5,216.50

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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.