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Finding the Fourth Proportional to 5,264.40, 7,882.21 and 3,410.94

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Solution

The fourth proportional to 5,264.40, 7,882.21 and 3,410.94 is: 5,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.40 : 7,882.21 = 3,410.94 : x
  2. Step 2: Convert to fraction form
    5,264.40/7,882.21 = 3,410.94/x
  3. Step 3: Cross multiply
    5,264.40x = 7,882.21 × 3,410.94
  4. Step 4: Simplify right side
    5,264.40x = 26,885,745.38
  5. Step 5: Solve for x
    x = 26,885,745.38/5,264.40
  6. Step 6: Final answer
    x = 5,107.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.