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Finding the Fourth Proportional to 3,721.67, 5,583.21 and 1,223.56

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Solution

The fourth proportional to 3,721.67, 5,583.21 and 1,223.56 is: 1,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.67 : 5,583.21 = 1,223.56 : x
  2. Step 2: Convert to fraction form
    3,721.67/5,583.21 = 1,223.56/x
  3. Step 3: Cross multiply
    3,721.67x = 5,583.21 × 1,223.56
  4. Step 4: Simplify right side
    3,721.67x = 6,831,392.43
  5. Step 5: Solve for x
    x = 6,831,392.43/3,721.67
  6. Step 6: Final answer
    x = 1,835.57

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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.