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Finding the Fourth Proportional to 3,289.53, 4,910.30 and 2,874.34

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Solution

The fourth proportional to 3,289.53, 4,910.30 and 2,874.34 is: 4,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.53 : 4,910.30 = 2,874.34 : x
  2. Step 2: Convert to fraction form
    3,289.53/4,910.30 = 2,874.34/x
  3. Step 3: Cross multiply
    3,289.53x = 4,910.30 × 2,874.34
  4. Step 4: Simplify right side
    3,289.53x = 14,113,871.70
  5. Step 5: Solve for x
    x = 14,113,871.70/3,289.53
  6. Step 6: Final answer
    x = 4,290.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.