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Finding the Fourth Proportional to 4,114.70, 6,172.05 and 3,422.15

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Solution

The fourth proportional to 4,114.70, 6,172.05 and 3,422.15 is: 5,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.70 : 6,172.05 = 3,422.15 : x
  2. Step 2: Convert to fraction form
    4,114.70/6,172.05 = 3,422.15/x
  3. Step 3: Cross multiply
    4,114.70x = 6,172.05 × 3,422.15
  4. Step 4: Simplify right side
    4,114.70x = 21,121,680.91
  5. Step 5: Solve for x
    x = 21,121,680.91/4,114.70
  6. Step 6: Final answer
    x = 5,133.23

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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.