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Finding the Fourth Proportional to 3,838.44, 5,294.52 and 3,054.36

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Solution

The fourth proportional to 3,838.44, 5,294.52 and 3,054.36 is: 4,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.44 : 5,294.52 = 3,054.36 : x
  2. Step 2: Convert to fraction form
    3,838.44/5,294.52 = 3,054.36/x
  3. Step 3: Cross multiply
    3,838.44x = 5,294.52 × 3,054.36
  4. Step 4: Simplify right side
    3,838.44x = 16,171,370.11
  5. Step 5: Solve for x
    x = 16,171,370.11/3,838.44
  6. Step 6: Final answer
    x = 4,213.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.