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Finding the Fourth Proportional to 3,086.39, 4,629.57 and 777.89

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Solution

The fourth proportional to 3,086.39, 4,629.57 and 777.89 is: 1,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.39 : 4,629.57 = 777.89 : x
  2. Step 2: Convert to fraction form
    3,086.39/4,629.57 = 777.89/x
  3. Step 3: Cross multiply
    3,086.39x = 4,629.57 × 777.89
  4. Step 4: Simplify right side
    3,086.39x = 3,601,296.21
  5. Step 5: Solve for x
    x = 3,601,296.21/3,086.39
  6. Step 6: Final answer
    x = 1,166.83

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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.