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Finding the Fourth Proportional to 3,415.78, 4,709.37 and 2,236.42

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Solution

The fourth proportional to 3,415.78, 4,709.37 and 2,236.42 is: 3,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.78 : 4,709.37 = 2,236.42 : x
  2. Step 2: Convert to fraction form
    3,415.78/4,709.37 = 2,236.42/x
  3. Step 3: Cross multiply
    3,415.78x = 4,709.37 × 2,236.42
  4. Step 4: Simplify right side
    3,415.78x = 10,532,129.26
  5. Step 5: Solve for x
    x = 10,532,129.26/3,415.78
  6. Step 6: Final answer
    x = 3,083.37

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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.