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Finding the Fourth Proportional to 5,731.90, 7,919.88 and 4,135.39

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Solution

The fourth proportional to 5,731.90, 7,919.88 and 4,135.39 is: 5,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.90 : 7,919.88 = 4,135.39 : x
  2. Step 2: Convert to fraction form
    5,731.90/7,919.88 = 4,135.39/x
  3. Step 3: Cross multiply
    5,731.90x = 7,919.88 × 4,135.39
  4. Step 4: Simplify right side
    5,731.90x = 32,751,757.25
  5. Step 5: Solve for x
    x = 32,751,757.25/5,731.90
  6. Step 6: Final answer
    x = 5,713.95

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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.