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Finding the Fourth Proportional to 5,923.98, 8,170.74 and 3,800.16

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Solution

The fourth proportional to 5,923.98, 8,170.74 and 3,800.16 is: 5,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.98 : 8,170.74 = 3,800.16 : x
  2. Step 2: Convert to fraction form
    5,923.98/8,170.74 = 3,800.16/x
  3. Step 3: Cross multiply
    5,923.98x = 8,170.74 × 3,800.16
  4. Step 4: Simplify right side
    5,923.98x = 31,050,119.32
  5. Step 5: Solve for x
    x = 31,050,119.32/5,923.98
  6. Step 6: Final answer
    x = 5,241.43

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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.