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Finding the Fourth Proportional to 3,834.90, 5,288.85 and 2,994.30

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Solution

The fourth proportional to 3,834.90, 5,288.85 and 2,994.30 is: 4,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.90 : 5,288.85 = 2,994.30 : x
  2. Step 2: Convert to fraction form
    3,834.90/5,288.85 = 2,994.30/x
  3. Step 3: Cross multiply
    3,834.90x = 5,288.85 × 2,994.30
  4. Step 4: Simplify right side
    3,834.90x = 15,836,403.56
  5. Step 5: Solve for x
    x = 15,836,403.56/3,834.90
  6. Step 6: Final answer
    x = 4,129.55

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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.