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Finding the Fourth Proportional to 5,299.41, 7,944.24 and 2,699.31

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Solution

The fourth proportional to 5,299.41, 7,944.24 and 2,699.31 is: 4,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.41 : 7,944.24 = 2,699.31 : x
  2. Step 2: Convert to fraction form
    5,299.41/7,944.24 = 2,699.31/x
  3. Step 3: Cross multiply
    5,299.41x = 7,944.24 × 2,699.31
  4. Step 4: Simplify right side
    5,299.41x = 21,443,966.47
  5. Step 5: Solve for x
    x = 21,443,966.47/5,299.41
  6. Step 6: Final answer
    x = 4,046.48

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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.