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Finding the Fourth Proportional to 3,277.77, 4,917.15 and 1,086

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Solution

The fourth proportional to 3,277.77, 4,917.15 and 1,086 is: 1,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.77 : 4,917.15 = 1,086 : x
  2. Step 2: Convert to fraction form
    3,277.77/4,917.15 = 1,086/x
  3. Step 3: Cross multiply
    3,277.77x = 4,917.15 × 1,086
  4. Step 4: Simplify right side
    3,277.77x = 5,340,024.90
  5. Step 5: Solve for x
    x = 5,340,024.90/3,277.77
  6. Step 6: Final answer
    x = 1,629.16

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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.