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Finding the Fourth Proportional to 5,414.82, 8,109.90 and 4,237.48

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Solution

The fourth proportional to 5,414.82, 8,109.90 and 4,237.48 is: 6,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.82 : 8,109.90 = 4,237.48 : x
  2. Step 2: Convert to fraction form
    5,414.82/8,109.90 = 4,237.48/x
  3. Step 3: Cross multiply
    5,414.82x = 8,109.90 × 4,237.48
  4. Step 4: Simplify right side
    5,414.82x = 34,365,539.05
  5. Step 5: Solve for x
    x = 34,365,539.05/5,414.82
  6. Step 6: Final answer
    x = 6,346.57

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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.