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Finding the Fourth Proportional to 3,838.23, 5,756.50 and 1,373.22

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Solution

The fourth proportional to 3,838.23, 5,756.50 and 1,373.22 is: 2,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.23 : 5,756.50 = 1,373.22 : x
  2. Step 2: Convert to fraction form
    3,838.23/5,756.50 = 1,373.22/x
  3. Step 3: Cross multiply
    3,838.23x = 5,756.50 × 1,373.22
  4. Step 4: Simplify right side
    3,838.23x = 7,904,940.93
  5. Step 5: Solve for x
    x = 7,904,940.93/3,838.23
  6. Step 6: Final answer
    x = 2,059.53

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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.