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Finding the Fourth Proportional to 3,494.46, 4,824.66 and 2,170.14

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Solution

The fourth proportional to 3,494.46, 4,824.66 and 2,170.14 is: 2,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.46 : 4,824.66 = 2,170.14 : x
  2. Step 2: Convert to fraction form
    3,494.46/4,824.66 = 2,170.14/x
  3. Step 3: Cross multiply
    3,494.46x = 4,824.66 × 2,170.14
  4. Step 4: Simplify right side
    3,494.46x = 10,470,187.65
  5. Step 5: Solve for x
    x = 10,470,187.65/3,494.46
  6. Step 6: Final answer
    x = 2,996.22

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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.