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Finding the Fourth Proportional to 4,167.44, 5,753.96 and 2,596.24

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Solution

The fourth proportional to 4,167.44, 5,753.96 and 2,596.24 is: 3,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.44 : 5,753.96 = 2,596.24 : x
  2. Step 2: Convert to fraction form
    4,167.44/5,753.96 = 2,596.24/x
  3. Step 3: Cross multiply
    4,167.44x = 5,753.96 × 2,596.24
  4. Step 4: Simplify right side
    4,167.44x = 14,938,661.11
  5. Step 5: Solve for x
    x = 14,938,661.11/4,167.44
  6. Step 6: Final answer
    x = 3,584.61

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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.