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Finding the Fourth Proportional to 3,216.67, 4,821.73 and 1,827.08

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Solution

The fourth proportional to 3,216.67, 4,821.73 and 1,827.08 is: 2,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.67 : 4,821.73 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    3,216.67/4,821.73 = 1,827.08/x
  3. Step 3: Cross multiply
    3,216.67x = 4,821.73 × 1,827.08
  4. Step 4: Simplify right side
    3,216.67x = 8,809,686.45
  5. Step 5: Solve for x
    x = 8,809,686.45/3,216.67
  6. Step 6: Final answer
    x = 2,738.76

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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.