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Finding the Fourth Proportional to 5,289.84, 7,301.41 and 3,299.20

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Solution

The fourth proportional to 5,289.84, 7,301.41 and 3,299.20 is: 4,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.84 : 7,301.41 = 3,299.20 : x
  2. Step 2: Convert to fraction form
    5,289.84/7,301.41 = 3,299.20/x
  3. Step 3: Cross multiply
    5,289.84x = 7,301.41 × 3,299.20
  4. Step 4: Simplify right side
    5,289.84x = 24,088,785.37
  5. Step 5: Solve for x
    x = 24,088,785.37/5,289.84
  6. Step 6: Final answer
    x = 4,553.78

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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.