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Finding the Fourth Proportional to 4,847.57, 6,689.64 and 2,751.70

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Solution

The fourth proportional to 4,847.57, 6,689.64 and 2,751.70 is: 3,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.57 : 6,689.64 = 2,751.70 : x
  2. Step 2: Convert to fraction form
    4,847.57/6,689.64 = 2,751.70/x
  3. Step 3: Cross multiply
    4,847.57x = 6,689.64 × 2,751.70
  4. Step 4: Simplify right side
    4,847.57x = 18,407,882.39
  5. Step 5: Solve for x
    x = 18,407,882.39/4,847.57
  6. Step 6: Final answer
    x = 3,797.34

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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.