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Finding the Fourth Proportional to 3,653.12, 5,474.64 and 3,164.96

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Solution

The fourth proportional to 3,653.12, 5,474.64 and 3,164.96 is: 4,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.12 : 5,474.64 = 3,164.96 : x
  2. Step 2: Convert to fraction form
    3,653.12/5,474.64 = 3,164.96/x
  3. Step 3: Cross multiply
    3,653.12x = 5,474.64 × 3,164.96
  4. Step 4: Simplify right side
    3,653.12x = 17,327,016.61
  5. Step 5: Solve for x
    x = 17,327,016.61/3,653.12
  6. Step 6: Final answer
    x = 4,743.07

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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.