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Finding the Fourth Proportional to 3,446.19, 5,170.06 and 1,106.41

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Solution

The fourth proportional to 3,446.19, 5,170.06 and 1,106.41 is: 1,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.19 : 5,170.06 = 1,106.41 : x
  2. Step 2: Convert to fraction form
    3,446.19/5,170.06 = 1,106.41/x
  3. Step 3: Cross multiply
    3,446.19x = 5,170.06 × 1,106.41
  4. Step 4: Simplify right side
    3,446.19x = 5,720,206.08
  5. Step 5: Solve for x
    x = 5,720,206.08/3,446.19
  6. Step 6: Final answer
    x = 1,659.86

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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.