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Finding the Fourth Proportional to 3,846.76, 5,309.01 and 2,168.57

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Solution

The fourth proportional to 3,846.76, 5,309.01 and 2,168.57 is: 2,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.76 : 5,309.01 = 2,168.57 : x
  2. Step 2: Convert to fraction form
    3,846.76/5,309.01 = 2,168.57/x
  3. Step 3: Cross multiply
    3,846.76x = 5,309.01 × 2,168.57
  4. Step 4: Simplify right side
    3,846.76x = 11,512,973.09
  5. Step 5: Solve for x
    x = 11,512,973.09/3,846.76
  6. Step 6: Final answer
    x = 2,992.90

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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.