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Finding the Fourth Proportional to 3,172.35, 4,759.89 and 1,225.92

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Solution

The fourth proportional to 3,172.35, 4,759.89 and 1,225.92 is: 1,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.35 : 4,759.89 = 1,225.92 : x
  2. Step 2: Convert to fraction form
    3,172.35/4,759.89 = 1,225.92/x
  3. Step 3: Cross multiply
    3,172.35x = 4,759.89 × 1,225.92
  4. Step 4: Simplify right side
    3,172.35x = 5,835,244.35
  5. Step 5: Solve for x
    x = 5,835,244.35/3,172.35
  6. Step 6: Final answer
    x = 1,839.41

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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.