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Finding the Fourth Proportional to 3,442.51, 5,163.77 and 3,267.21

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Solution

The fourth proportional to 3,442.51, 5,163.77 and 3,267.21 is: 4,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.51 : 5,163.77 = 3,267.21 : x
  2. Step 2: Convert to fraction form
    3,442.51/5,163.77 = 3,267.21/x
  3. Step 3: Cross multiply
    3,442.51x = 5,163.77 × 3,267.21
  4. Step 4: Simplify right side
    3,442.51x = 16,871,104.65
  5. Step 5: Solve for x
    x = 16,871,104.65/3,442.51
  6. Step 6: Final answer
    x = 4,900.82

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.