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Finding the Fourth Proportional to 5,245.96, 7,239.38 and 2,977.73

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Solution

The fourth proportional to 5,245.96, 7,239.38 and 2,977.73 is: 4,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.96 : 7,239.38 = 2,977.73 : x
  2. Step 2: Convert to fraction form
    5,245.96/7,239.38 = 2,977.73/x
  3. Step 3: Cross multiply
    5,245.96x = 7,239.38 × 2,977.73
  4. Step 4: Simplify right side
    5,245.96x = 21,556,919.01
  5. Step 5: Solve for x
    x = 21,556,919.01/5,245.96
  6. Step 6: Final answer
    x = 4,109.24

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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.