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Finding the Fourth Proportional to 5,677.25, 7,834.61 and 3,193.25

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Solution

The fourth proportional to 5,677.25, 7,834.61 and 3,193.25 is: 4,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.25 : 7,834.61 = 3,193.25 : x
  2. Step 2: Convert to fraction form
    5,677.25/7,834.61 = 3,193.25/x
  3. Step 3: Cross multiply
    5,677.25x = 7,834.61 × 3,193.25
  4. Step 4: Simplify right side
    5,677.25x = 25,017,852.42
  5. Step 5: Solve for x
    x = 25,017,852.42/5,677.25
  6. Step 6: Final answer
    x = 4,406.69

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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.