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Finding the Fourth Proportional to 4,163.34, 5,734.63 and 2,902.14

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Solution

The fourth proportional to 4,163.34, 5,734.63 and 2,902.14 is: 3,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.34 : 5,734.63 = 2,902.14 : x
  2. Step 2: Convert to fraction form
    4,163.34/5,734.63 = 2,902.14/x
  3. Step 3: Cross multiply
    4,163.34x = 5,734.63 × 2,902.14
  4. Step 4: Simplify right side
    4,163.34x = 16,642,699.11
  5. Step 5: Solve for x
    x = 16,642,699.11/4,163.34
  6. Step 6: Final answer
    x = 3,997.44

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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.