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Finding the Fourth Proportional to 3,086.38, 4,629.57 and 777.88

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Solution

The fourth proportional to 3,086.38, 4,629.57 and 777.88 is: 1,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.38 : 4,629.57 = 777.88 : x
  2. Step 2: Convert to fraction form
    3,086.38/4,629.57 = 777.88/x
  3. Step 3: Cross multiply
    3,086.38x = 4,629.57 × 777.88
  4. Step 4: Simplify right side
    3,086.38x = 3,601,222.87
  5. Step 5: Solve for x
    x = 3,601,222.87/3,086.38
  6. Step 6: Final answer
    x = 1,166.81

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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.