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Finding the Fourth Proportional to 4,847.57, 6,689.79 and 2,859.83

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Solution

The fourth proportional to 4,847.57, 6,689.79 and 2,859.83 is: 3,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.57 : 6,689.79 = 2,859.83 : x
  2. Step 2: Convert to fraction form
    4,847.57/6,689.79 = 2,859.83/x
  3. Step 3: Cross multiply
    4,847.57x = 6,689.79 × 2,859.83
  4. Step 4: Simplify right side
    4,847.57x = 19,131,614.39
  5. Step 5: Solve for x
    x = 19,131,614.39/4,847.57
  6. Step 6: Final answer
    x = 3,946.64

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