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Finding the Fourth Proportional to 4,172.34, 5,757.84 and 2,600.44

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Solution

The fourth proportional to 4,172.34, 5,757.84 and 2,600.44 is: 3,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.34 : 5,757.84 = 2,600.44 : x
  2. Step 2: Convert to fraction form
    4,172.34/5,757.84 = 2,600.44/x
  3. Step 3: Cross multiply
    4,172.34x = 5,757.84 × 2,600.44
  4. Step 4: Simplify right side
    4,172.34x = 14,972,903.06
  5. Step 5: Solve for x
    x = 14,972,903.06/4,172.34
  6. Step 6: Final answer
    x = 3,588.61

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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.