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Finding the Fourth Proportional to 3,396.82, 5,094.07 and 1,205.10

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Solution

The fourth proportional to 3,396.82, 5,094.07 and 1,205.10 is: 1,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.82 : 5,094.07 = 1,205.10 : x
  2. Step 2: Convert to fraction form
    3,396.82/5,094.07 = 1,205.10/x
  3. Step 3: Cross multiply
    3,396.82x = 5,094.07 × 1,205.10
  4. Step 4: Simplify right side
    3,396.82x = 6,138,863.76
  5. Step 5: Solve for x
    x = 6,138,863.76/3,396.82
  6. Step 6: Final answer
    x = 1,807.24

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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.