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Finding the Fourth Proportional to 5,881.94, 8,114.24 and 3,396.50

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Solution

The fourth proportional to 5,881.94, 8,114.24 and 3,396.50 is: 4,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.94 : 8,114.24 = 3,396.50 : x
  2. Step 2: Convert to fraction form
    5,881.94/8,114.24 = 3,396.50/x
  3. Step 3: Cross multiply
    5,881.94x = 8,114.24 × 3,396.50
  4. Step 4: Simplify right side
    5,881.94x = 27,560,016.16
  5. Step 5: Solve for x
    x = 27,560,016.16/5,881.94
  6. Step 6: Final answer
    x = 4,685.53

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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.