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Finding the Fourth Proportional to 4,166.42, 5,745.26 and 2,591.78

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Solution

The fourth proportional to 4,166.42, 5,745.26 and 2,591.78 is: 3,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.42 : 5,745.26 = 2,591.78 : x
  2. Step 2: Convert to fraction form
    4,166.42/5,745.26 = 2,591.78/x
  3. Step 3: Cross multiply
    4,166.42x = 5,745.26 × 2,591.78
  4. Step 4: Simplify right side
    4,166.42x = 14,890,427.72
  5. Step 5: Solve for x
    x = 14,890,427.72/4,166.42
  6. Step 6: Final answer
    x = 3,573.92

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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.