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Finding the Fourth Proportional to 4,183.75, 6,275.67 and 1,105.75

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Solution

The fourth proportional to 4,183.75, 6,275.67 and 1,105.75 is: 1,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.75 : 6,275.67 = 1,105.75 : x
  2. Step 2: Convert to fraction form
    4,183.75/6,275.67 = 1,105.75/x
  3. Step 3: Cross multiply
    4,183.75x = 6,275.67 × 1,105.75
  4. Step 4: Simplify right side
    4,183.75x = 6,939,322.10
  5. Step 5: Solve for x
    x = 6,939,322.10/4,183.75
  6. Step 6: Final answer
    x = 1,658.64

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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.