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Finding the Fourth Proportional to 5,986.64, 8,261.97 and 3,334.47

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Solution

The fourth proportional to 5,986.64, 8,261.97 and 3,334.47 is: 4,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.64 : 8,261.97 = 3,334.47 : x
  2. Step 2: Convert to fraction form
    5,986.64/8,261.97 = 3,334.47/x
  3. Step 3: Cross multiply
    5,986.64x = 8,261.97 × 3,334.47
  4. Step 4: Simplify right side
    5,986.64x = 27,549,247.62
  5. Step 5: Solve for x
    x = 27,549,247.62/5,986.64
  6. Step 6: Final answer
    x = 4,601.79

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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.