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Finding the Fourth Proportional to 3,438.45, 4,734.27 and 3,034.26

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Solution

The fourth proportional to 3,438.45, 4,734.27 and 3,034.26 is: 4,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.45 : 4,734.27 = 3,034.26 : x
  2. Step 2: Convert to fraction form
    3,438.45/4,734.27 = 3,034.26/x
  3. Step 3: Cross multiply
    3,438.45x = 4,734.27 × 3,034.26
  4. Step 4: Simplify right side
    3,438.45x = 14,365,006.09
  5. Step 5: Solve for x
    x = 14,365,006.09/3,438.45
  6. Step 6: Final answer
    x = 4,177.76

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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.