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Finding the Fourth Proportional to 3,172.22, 4,757.07 and 1,223.18

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Solution

The fourth proportional to 3,172.22, 4,757.07 and 1,223.18 is: 1,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.22 : 4,757.07 = 1,223.18 : x
  2. Step 2: Convert to fraction form
    3,172.22/4,757.07 = 1,223.18/x
  3. Step 3: Cross multiply
    3,172.22x = 4,757.07 × 1,223.18
  4. Step 4: Simplify right side
    3,172.22x = 5,818,752.88
  5. Step 5: Solve for x
    x = 5,818,752.88/3,172.22
  6. Step 6: Final answer
    x = 1,834.28

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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.