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Finding the Fourth Proportional to 5,677.44, 7,834.08 and 3,193.44

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Solution

The fourth proportional to 5,677.44, 7,834.08 and 3,193.44 is: 4,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.44 : 7,834.08 = 3,193.44 : x
  2. Step 2: Convert to fraction form
    5,677.44/7,834.08 = 3,193.44/x
  3. Step 3: Cross multiply
    5,677.44x = 7,834.08 × 3,193.44
  4. Step 4: Simplify right side
    5,677.44x = 25,017,664.44
  5. Step 5: Solve for x
    x = 25,017,664.44/5,677.44
  6. Step 6: Final answer
    x = 4,406.50

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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.