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Finding the Fourth Proportional to 5,412.74, 8,102.67 and 3,466.31

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Solution

The fourth proportional to 5,412.74, 8,102.67 and 3,466.31 is: 5,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.74 : 8,102.67 = 3,466.31 : x
  2. Step 2: Convert to fraction form
    5,412.74/8,102.67 = 3,466.31/x
  3. Step 3: Cross multiply
    5,412.74x = 8,102.67 × 3,466.31
  4. Step 4: Simplify right side
    5,412.74x = 28,086,366.05
  5. Step 5: Solve for x
    x = 28,086,366.05/5,412.74
  6. Step 6: Final answer
    x = 5,188.94

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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.