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Finding the Fourth Proportional to 3,172.87, 4,758.54 and 1,223.83

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Solution

The fourth proportional to 3,172.87, 4,758.54 and 1,223.83 is: 1,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.87 : 4,758.54 = 1,223.83 : x
  2. Step 2: Convert to fraction form
    3,172.87/4,758.54 = 1,223.83/x
  3. Step 3: Cross multiply
    3,172.87x = 4,758.54 × 1,223.83
  4. Step 4: Simplify right side
    3,172.87x = 5,823,644.01
  5. Step 5: Solve for x
    x = 5,823,644.01/3,172.87
  6. Step 6: Final answer
    x = 1,835.45

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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.