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Finding the Fourth Proportional to 3,865.77, 5,789.63 and 2,823.19

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Solution

The fourth proportional to 3,865.77, 5,789.63 and 2,823.19 is: 4,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.77 : 5,789.63 = 2,823.19 : x
  2. Step 2: Convert to fraction form
    3,865.77/5,789.63 = 2,823.19/x
  3. Step 3: Cross multiply
    3,865.77x = 5,789.63 × 2,823.19
  4. Step 4: Simplify right side
    3,865.77x = 16,345,218.10
  5. Step 5: Solve for x
    x = 16,345,218.10/3,865.77
  6. Step 6: Final answer
    x = 4,228.19

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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.