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Finding the Fourth Proportional to 5,069, 6,995.22 and 3,208.52

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Solution

The fourth proportional to 5,069, 6,995.22 and 3,208.52 is: 4,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069 : 6,995.22 = 3,208.52 : x
  2. Step 2: Convert to fraction form
    5,069/6,995.22 = 3,208.52/x
  3. Step 3: Cross multiply
    5,069x = 6,995.22 × 3,208.52
  4. Step 4: Simplify right side
    5,069x = 22,444,303.27
  5. Step 5: Solve for x
    x = 22,444,303.27/5,069
  6. Step 6: Final answer
    x = 4,427.76

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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.