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Finding the Fourth Proportional to 4,158.24, 5,741.25 and 3,893.57

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Solution

The fourth proportional to 4,158.24, 5,741.25 and 3,893.57 is: 5,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.24 : 5,741.25 = 3,893.57 : x
  2. Step 2: Convert to fraction form
    4,158.24/5,741.25 = 3,893.57/x
  3. Step 3: Cross multiply
    4,158.24x = 5,741.25 × 3,893.57
  4. Step 4: Simplify right side
    4,158.24x = 22,353,936.99
  5. Step 5: Solve for x
    x = 22,353,936.99/4,158.24
  6. Step 6: Final answer
    x = 5,375.82

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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.