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Finding the Fourth Proportional to 4,147.70, 6,223.48 and 1,684.22

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Solution

The fourth proportional to 4,147.70, 6,223.48 and 1,684.22 is: 2,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.70 : 6,223.48 = 1,684.22 : x
  2. Step 2: Convert to fraction form
    4,147.70/6,223.48 = 1,684.22/x
  3. Step 3: Cross multiply
    4,147.70x = 6,223.48 × 1,684.22
  4. Step 4: Simplify right side
    4,147.70x = 10,481,709.49
  5. Step 5: Solve for x
    x = 10,481,709.49/4,147.70
  6. Step 6: Final answer
    x = 2,527.11

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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.