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Finding the Fourth Proportional to 5,299.67, 7,313.78 and 2,941.82

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Solution

The fourth proportional to 5,299.67, 7,313.78 and 2,941.82 is: 4,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.67 : 7,313.78 = 2,941.82 : x
  2. Step 2: Convert to fraction form
    5,299.67/7,313.78 = 2,941.82/x
  3. Step 3: Cross multiply
    5,299.67x = 7,313.78 × 2,941.82
  4. Step 4: Simplify right side
    5,299.67x = 21,515,773.00
  5. Step 5: Solve for x
    x = 21,515,773.00/5,299.67
  6. Step 6: Final answer
    x = 4,059.83

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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.