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Finding the Fourth Proportional to 3,654.53, 5,485.89 and 1,464.79

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Solution

The fourth proportional to 3,654.53, 5,485.89 and 1,464.79 is: 2,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.53 : 5,485.89 = 1,464.79 : x
  2. Step 2: Convert to fraction form
    3,654.53/5,485.89 = 1,464.79/x
  3. Step 3: Cross multiply
    3,654.53x = 5,485.89 × 1,464.79
  4. Step 4: Simplify right side
    3,654.53x = 8,035,676.81
  5. Step 5: Solve for x
    x = 8,035,676.81/3,654.53
  6. Step 6: Final answer
    x = 2,198.83

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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.