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Finding the Fourth Proportional to 5,299.34, 7,313.28 and 3,202.25

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Solution

The fourth proportional to 5,299.34, 7,313.28 and 3,202.25 is: 4,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.34 : 7,313.28 = 3,202.25 : x
  2. Step 2: Convert to fraction form
    5,299.34/7,313.28 = 3,202.25/x
  3. Step 3: Cross multiply
    5,299.34x = 7,313.28 × 3,202.25
  4. Step 4: Simplify right side
    5,299.34x = 23,418,950.88
  5. Step 5: Solve for x
    x = 23,418,950.88/5,299.34
  6. Step 6: Final answer
    x = 4,419.22

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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.