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Finding the Fourth Proportional to 3,223.72, 4,838.01 and 1,493.56

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Solution

The fourth proportional to 3,223.72, 4,838.01 and 1,493.56 is: 2,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.72 : 4,838.01 = 1,493.56 : x
  2. Step 2: Convert to fraction form
    3,223.72/4,838.01 = 1,493.56/x
  3. Step 3: Cross multiply
    3,223.72x = 4,838.01 × 1,493.56
  4. Step 4: Simplify right side
    3,223.72x = 7,225,858.22
  5. Step 5: Solve for x
    x = 7,225,858.22/3,223.72
  6. Step 6: Final answer
    x = 2,241.47

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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.