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Finding the Fourth Proportional to 4,187.92, 6,283.52 and 1,846.66

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Solution

The fourth proportional to 4,187.92, 6,283.52 and 1,846.66 is: 2,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.92 : 6,283.52 = 1,846.66 : x
  2. Step 2: Convert to fraction form
    4,187.92/6,283.52 = 1,846.66/x
  3. Step 3: Cross multiply
    4,187.92x = 6,283.52 × 1,846.66
  4. Step 4: Simplify right side
    4,187.92x = 11,603,529.66
  5. Step 5: Solve for x
    x = 11,603,529.66/4,187.92
  6. Step 6: Final answer
    x = 2,770.71

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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.