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Finding the Fourth Proportional to 4,200.35, 5,796.35 and 2,311.92

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Solution

The fourth proportional to 4,200.35, 5,796.35 and 2,311.92 is: 3,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.35 : 5,796.35 = 2,311.92 : x
  2. Step 2: Convert to fraction form
    4,200.35/5,796.35 = 2,311.92/x
  3. Step 3: Cross multiply
    4,200.35x = 5,796.35 × 2,311.92
  4. Step 4: Simplify right side
    4,200.35x = 13,400,685.93
  5. Step 5: Solve for x
    x = 13,400,685.93/4,200.35
  6. Step 6: Final answer
    x = 3,190.38

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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.