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Finding the Fourth Proportional to 3,224.07, 4,838.26 and 1,172.07

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Solution

The fourth proportional to 3,224.07, 4,838.26 and 1,172.07 is: 1,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.07 : 4,838.26 = 1,172.07 : x
  2. Step 2: Convert to fraction form
    3,224.07/4,838.26 = 1,172.07/x
  3. Step 3: Cross multiply
    3,224.07x = 4,838.26 × 1,172.07
  4. Step 4: Simplify right side
    3,224.07x = 5,670,749.35
  5. Step 5: Solve for x
    x = 5,670,749.35/3,224.07
  6. Step 6: Final answer
    x = 1,758.88

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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.