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Finding the Fourth Proportional to 5,784.87, 7,983.83 and 3,267.09

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Solution

The fourth proportional to 5,784.87, 7,983.83 and 3,267.09 is: 4,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.87 : 7,983.83 = 3,267.09 : x
  2. Step 2: Convert to fraction form
    5,784.87/7,983.83 = 3,267.09/x
  3. Step 3: Cross multiply
    5,784.87x = 7,983.83 × 3,267.09
  4. Step 4: Simplify right side
    5,784.87x = 26,083,891.15
  5. Step 5: Solve for x
    x = 26,083,891.15/5,784.87
  6. Step 6: Final answer
    x = 4,508.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.