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Finding the Fourth Proportional to 4,517.57, 6,776.87 and 1,230.69

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Solution

The fourth proportional to 4,517.57, 6,776.87 and 1,230.69 is: 1,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.57 : 6,776.87 = 1,230.69 : x
  2. Step 2: Convert to fraction form
    4,517.57/6,776.87 = 1,230.69/x
  3. Step 3: Cross multiply
    4,517.57x = 6,776.87 × 1,230.69
  4. Step 4: Simplify right side
    4,517.57x = 8,340,226.14
  5. Step 5: Solve for x
    x = 8,340,226.14/4,517.57
  6. Step 6: Final answer
    x = 1,846.18

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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.