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Finding the Fourth Proportional to 3,698.19, 5,546.75 and 1,233

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Solution

The fourth proportional to 3,698.19, 5,546.75 and 1,233 is: 1,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.19 : 5,546.75 = 1,233 : x
  2. Step 2: Convert to fraction form
    3,698.19/5,546.75 = 1,233/x
  3. Step 3: Cross multiply
    3,698.19x = 5,546.75 × 1,233
  4. Step 4: Simplify right side
    3,698.19x = 6,839,136.59
  5. Step 5: Solve for x
    x = 6,839,136.59/3,698.19
  6. Step 6: Final answer
    x = 1,849.32

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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.