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Finding the Fourth Proportional to 5,441.40, 8,143.98 and 4,135.56

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Solution

The fourth proportional to 5,441.40, 8,143.98 and 4,135.56 is: 6,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.40 : 8,143.98 = 4,135.56 : x
  2. Step 2: Convert to fraction form
    5,441.40/8,143.98 = 4,135.56/x
  3. Step 3: Cross multiply
    5,441.40x = 8,143.98 × 4,135.56
  4. Step 4: Simplify right side
    5,441.40x = 33,679,917.93
  5. Step 5: Solve for x
    x = 33,679,917.93/5,441.40
  6. Step 6: Final answer
    x = 6,189.57

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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.