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Finding the Fourth Proportional to 5,911.40, 8,156.26 and 3,813

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Solution

The fourth proportional to 5,911.40, 8,156.26 and 3,813 is: 5,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.40 : 8,156.26 = 3,813 : x
  2. Step 2: Convert to fraction form
    5,911.40/8,156.26 = 3,813/x
  3. Step 3: Cross multiply
    5,911.40x = 8,156.26 × 3,813
  4. Step 4: Simplify right side
    5,911.40x = 31,099,819.38
  5. Step 5: Solve for x
    x = 31,099,819.38/5,911.40
  6. Step 6: Final answer
    x = 5,260.99

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Why These Related Problems?

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