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Finding the Fourth Proportional to 3,398.85, 5,093.70 and 2,228.34

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Solution

The fourth proportional to 3,398.85, 5,093.70 and 2,228.34 is: 3,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.85 : 5,093.70 = 2,228.34 : x
  2. Step 2: Convert to fraction form
    3,398.85/5,093.70 = 2,228.34/x
  3. Step 3: Cross multiply
    3,398.85x = 5,093.70 × 2,228.34
  4. Step 4: Simplify right side
    3,398.85x = 11,350,495.46
  5. Step 5: Solve for x
    x = 11,350,495.46/3,398.85
  6. Step 6: Final answer
    x = 3,339.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.