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Finding the Fourth Proportional to 5,677.68, 8,517.73 and 2,392.32

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Solution

The fourth proportional to 5,677.68, 8,517.73 and 2,392.32 is: 3,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.68 : 8,517.73 = 2,392.32 : x
  2. Step 2: Convert to fraction form
    5,677.68/8,517.73 = 2,392.32/x
  3. Step 3: Cross multiply
    5,677.68x = 8,517.73 × 2,392.32
  4. Step 4: Simplify right side
    5,677.68x = 20,377,087.26
  5. Step 5: Solve for x
    x = 20,377,087.26/5,677.68
  6. Step 6: Final answer
    x = 3,588.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.