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Finding the Fourth Proportional to 3,698.44, 5,546.45 and 1,232.60

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Solution

The fourth proportional to 3,698.44, 5,546.45 and 1,232.60 is: 1,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.44 : 5,546.45 = 1,232.60 : x
  2. Step 2: Convert to fraction form
    3,698.44/5,546.45 = 1,232.60/x
  3. Step 3: Cross multiply
    3,698.44x = 5,546.45 × 1,232.60
  4. Step 4: Simplify right side
    3,698.44x = 6,836,529.62
  5. Step 5: Solve for x
    x = 6,836,529.62/3,698.44
  6. Step 6: Final answer
    x = 1,848.49

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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.