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Finding the Fourth Proportional to 5,188.50, 7,167.93 and 3,400.22

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Solution

The fourth proportional to 5,188.50, 7,167.93 and 3,400.22 is: 4,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.50 : 7,167.93 = 3,400.22 : x
  2. Step 2: Convert to fraction form
    5,188.50/7,167.93 = 3,400.22/x
  3. Step 3: Cross multiply
    5,188.50x = 7,167.93 × 3,400.22
  4. Step 4: Simplify right side
    5,188.50x = 24,372,523.95
  5. Step 5: Solve for x
    x = 24,372,523.95/5,188.50
  6. Step 6: Final answer
    x = 4,697.41

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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.