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Finding the Fourth Proportional to 5,299.78, 7,313.84 and 3,174.59

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Solution

The fourth proportional to 5,299.78, 7,313.84 and 3,174.59 is: 4,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.78 : 7,313.84 = 3,174.59 : x
  2. Step 2: Convert to fraction form
    5,299.78/7,313.84 = 3,174.59/x
  3. Step 3: Cross multiply
    5,299.78x = 7,313.84 × 3,174.59
  4. Step 4: Simplify right side
    5,299.78x = 23,218,475.50
  5. Step 5: Solve for x
    x = 23,218,475.50/5,299.78
  6. Step 6: Final answer
    x = 4,381.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.