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Finding the Fourth Proportional to 3,446.62, 4,756.42 and 2,119.56

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Solution

The fourth proportional to 3,446.62, 4,756.42 and 2,119.56 is: 2,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.62 : 4,756.42 = 2,119.56 : x
  2. Step 2: Convert to fraction form
    3,446.62/4,756.42 = 2,119.56/x
  3. Step 3: Cross multiply
    3,446.62x = 4,756.42 × 2,119.56
  4. Step 4: Simplify right side
    3,446.62x = 10,081,517.58
  5. Step 5: Solve for x
    x = 10,081,517.58/3,446.62
  6. Step 6: Final answer
    x = 2,925.04

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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.