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Finding the Fourth Proportional to 3,742.04, 5,163.78 and 2,063.12

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Solution

The fourth proportional to 3,742.04, 5,163.78 and 2,063.12 is: 2,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.04 : 5,163.78 = 2,063.12 : x
  2. Step 2: Convert to fraction form
    3,742.04/5,163.78 = 2,063.12/x
  3. Step 3: Cross multiply
    3,742.04x = 5,163.78 × 2,063.12
  4. Step 4: Simplify right side
    3,742.04x = 10,653,497.79
  5. Step 5: Solve for x
    x = 10,653,497.79/3,742.04
  6. Step 6: Final answer
    x = 2,846.98

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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.