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Finding the Fourth Proportional to 4,205.77, 6,305.96 and 1,866.49

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Solution

The fourth proportional to 4,205.77, 6,305.96 and 1,866.49 is: 2,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.77 : 6,305.96 = 1,866.49 : x
  2. Step 2: Convert to fraction form
    4,205.77/6,305.96 = 1,866.49/x
  3. Step 3: Cross multiply
    4,205.77x = 6,305.96 × 1,866.49
  4. Step 4: Simplify right side
    4,205.77x = 11,770,001.95
  5. Step 5: Solve for x
    x = 11,770,001.95/4,205.77
  6. Step 6: Final answer
    x = 2,798.54

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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.