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Finding the Fourth Proportional to 5,913.74, 8,161.72 and 3,396.26

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Solution

The fourth proportional to 5,913.74, 8,161.72 and 3,396.26 is: 4,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.74 : 8,161.72 = 3,396.26 : x
  2. Step 2: Convert to fraction form
    5,913.74/8,161.72 = 3,396.26/x
  3. Step 3: Cross multiply
    5,913.74x = 8,161.72 × 3,396.26
  4. Step 4: Simplify right side
    5,913.74x = 27,719,323.17
  5. Step 5: Solve for x
    x = 27,719,323.17/5,913.74
  6. Step 6: Final answer
    x = 4,687.27

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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.