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Finding the Fourth Proportional to 3,937.36, 5,903.82 and 1,338.88

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Solution

The fourth proportional to 3,937.36, 5,903.82 and 1,338.88 is: 2,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.36 : 5,903.82 = 1,338.88 : x
  2. Step 2: Convert to fraction form
    3,937.36/5,903.82 = 1,338.88/x
  3. Step 3: Cross multiply
    3,937.36x = 5,903.82 × 1,338.88
  4. Step 4: Simplify right side
    3,937.36x = 7,904,506.52
  5. Step 5: Solve for x
    x = 7,904,506.52/3,937.36
  6. Step 6: Final answer
    x = 2,007.57

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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.