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Finding the Fourth Proportional to 4,931.22, 6,799.86 and 3,867

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Solution

The fourth proportional to 4,931.22, 6,799.86 and 3,867 is: 5,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.22 : 6,799.86 = 3,867 : x
  2. Step 2: Convert to fraction form
    4,931.22/6,799.86 = 3,867/x
  3. Step 3: Cross multiply
    4,931.22x = 6,799.86 × 3,867
  4. Step 4: Simplify right side
    4,931.22x = 26,295,058.62
  5. Step 5: Solve for x
    x = 26,295,058.62/4,931.22
  6. Step 6: Final answer
    x = 5,332.36

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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.