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Finding the Fourth Proportional to 3,838.36, 5,757.54 and 2,106.04

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Solution

The fourth proportional to 3,838.36, 5,757.54 and 2,106.04 is: 3,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.36 : 5,757.54 = 2,106.04 : x
  2. Step 2: Convert to fraction form
    3,838.36/5,757.54 = 2,106.04/x
  3. Step 3: Cross multiply
    3,838.36x = 5,757.54 × 2,106.04
  4. Step 4: Simplify right side
    3,838.36x = 12,125,609.54
  5. Step 5: Solve for x
    x = 12,125,609.54/3,838.36
  6. Step 6: Final answer
    x = 3,159.06

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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.