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Finding the Fourth Proportional to 5,867.75, 8,096.54 and 3,739.55

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Solution

The fourth proportional to 5,867.75, 8,096.54 and 3,739.55 is: 5,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.75 : 8,096.54 = 3,739.55 : x
  2. Step 2: Convert to fraction form
    5,867.75/8,096.54 = 3,739.55/x
  3. Step 3: Cross multiply
    5,867.75x = 8,096.54 × 3,739.55
  4. Step 4: Simplify right side
    5,867.75x = 30,277,356.98
  5. Step 5: Solve for x
    x = 30,277,356.98/5,867.75
  6. Step 6: Final answer
    x = 5,159.96

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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.