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Finding the Fourth Proportional to 3,659.48, 5,485.83 and 1,193.03

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Solution

The fourth proportional to 3,659.48, 5,485.83 and 1,193.03 is: 1,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.48 : 5,485.83 = 1,193.03 : x
  2. Step 2: Convert to fraction form
    3,659.48/5,485.83 = 1,193.03/x
  3. Step 3: Cross multiply
    3,659.48x = 5,485.83 × 1,193.03
  4. Step 4: Simplify right side
    3,659.48x = 6,544,759.76
  5. Step 5: Solve for x
    x = 6,544,759.76/3,659.48
  6. Step 6: Final answer
    x = 1,788.44

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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.