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Finding the Fourth Proportional to 3,837, 5,295.12 and 2,441.64

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Solution

The fourth proportional to 3,837, 5,295.12 and 2,441.64 is: 3,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,295.12 = 2,441.64 : x
  2. Step 2: Convert to fraction form
    3,837/5,295.12 = 2,441.64/x
  3. Step 3: Cross multiply
    3,837x = 5,295.12 × 2,441.64
  4. Step 4: Simplify right side
    3,837x = 12,928,776.80
  5. Step 5: Solve for x
    x = 12,928,776.80/3,837
  6. Step 6: Final answer
    x = 3,369.50

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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.