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Finding the Fourth Proportional to 5,296.82, 7,309.86 and 2,939

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Solution

The fourth proportional to 5,296.82, 7,309.86 and 2,939 is: 4,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.82 : 7,309.86 = 2,939 : x
  2. Step 2: Convert to fraction form
    5,296.82/7,309.86 = 2,939/x
  3. Step 3: Cross multiply
    5,296.82x = 7,309.86 × 2,939
  4. Step 4: Simplify right side
    5,296.82x = 21,483,678.54
  5. Step 5: Solve for x
    x = 21,483,678.54/5,296.82
  6. Step 6: Final answer
    x = 4,055.96

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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.