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Finding the Fourth Proportional to 3,185.71, 4,777.81 and 1,336.86

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Solution

The fourth proportional to 3,185.71, 4,777.81 and 1,336.86 is: 2,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.71 : 4,777.81 = 1,336.86 : x
  2. Step 2: Convert to fraction form
    3,185.71/4,777.81 = 1,336.86/x
  3. Step 3: Cross multiply
    3,185.71x = 4,777.81 × 1,336.86
  4. Step 4: Simplify right side
    3,185.71x = 6,387,276.93
  5. Step 5: Solve for x
    x = 6,387,276.93/3,185.71
  6. Step 6: Final answer
    x = 2,004.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.