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Finding the Fourth Proportional to 3,446.40, 5,169.61 and 849.34

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Solution

The fourth proportional to 3,446.40, 5,169.61 and 849.34 is: 1,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.40 : 5,169.61 = 849.34 : x
  2. Step 2: Convert to fraction form
    3,446.40/5,169.61 = 849.34/x
  3. Step 3: Cross multiply
    3,446.40x = 5,169.61 × 849.34
  4. Step 4: Simplify right side
    3,446.40x = 4,390,756.56
  5. Step 5: Solve for x
    x = 4,390,756.56/3,446.40
  6. Step 6: Final answer
    x = 1,274.01

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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.