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Finding the Fourth Proportional to 5,299.84, 7,313.97 and 3,202.75

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Solution

The fourth proportional to 5,299.84, 7,313.97 and 3,202.75 is: 4,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.84 : 7,313.97 = 3,202.75 : x
  2. Step 2: Convert to fraction form
    5,299.84/7,313.97 = 3,202.75/x
  3. Step 3: Cross multiply
    5,299.84x = 7,313.97 × 3,202.75
  4. Step 4: Simplify right side
    5,299.84x = 23,424,817.42
  5. Step 5: Solve for x
    x = 23,424,817.42/5,299.84
  6. Step 6: Final answer
    x = 4,419.91

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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.