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Finding the Fourth Proportional to 3,675.72, 5,506.74 and 3,183.24

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Solution

The fourth proportional to 3,675.72, 5,506.74 and 3,183.24 is: 4,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.72 : 5,506.74 = 3,183.24 : x
  2. Step 2: Convert to fraction form
    3,675.72/5,506.74 = 3,183.24/x
  3. Step 3: Cross multiply
    3,675.72x = 5,506.74 × 3,183.24
  4. Step 4: Simplify right side
    3,675.72x = 17,529,275.04
  5. Step 5: Solve for x
    x = 17,529,275.04/3,675.72
  6. Step 6: Final answer
    x = 4,768.94

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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.