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Finding the Fourth Proportional to 5,813.17, 8,021.83 and 3,160.55

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Solution

The fourth proportional to 5,813.17, 8,021.83 and 3,160.55 is: 4,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.17 : 8,021.83 = 3,160.55 : x
  2. Step 2: Convert to fraction form
    5,813.17/8,021.83 = 3,160.55/x
  3. Step 3: Cross multiply
    5,813.17x = 8,021.83 × 3,160.55
  4. Step 4: Simplify right side
    5,813.17x = 25,353,418.81
  5. Step 5: Solve for x
    x = 25,353,418.81/5,813.17
  6. Step 6: Final answer
    x = 4,361.38

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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.