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Finding the Fourth Proportional to 5,986.75, 8,261.46 and 3,468.66

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Solution

The fourth proportional to 5,986.75, 8,261.46 and 3,468.66 is: 4,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.75 : 8,261.46 = 3,468.66 : x
  2. Step 2: Convert to fraction form
    5,986.75/8,261.46 = 3,468.66/x
  3. Step 3: Cross multiply
    5,986.75x = 8,261.46 × 3,468.66
  4. Step 4: Simplify right side
    5,986.75x = 28,656,195.84
  5. Step 5: Solve for x
    x = 28,656,195.84/5,986.75
  6. Step 6: Final answer
    x = 4,786.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.