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Finding the Fourth Proportional to 3,809.27, 5,260.86 and 3,661.67

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Solution

The fourth proportional to 3,809.27, 5,260.86 and 3,661.67 is: 5,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.27 : 5,260.86 = 3,661.67 : x
  2. Step 2: Convert to fraction form
    3,809.27/5,260.86 = 3,661.67/x
  3. Step 3: Cross multiply
    3,809.27x = 5,260.86 × 3,661.67
  4. Step 4: Simplify right side
    3,809.27x = 19,263,533.24
  5. Step 5: Solve for x
    x = 19,263,533.24/3,809.27
  6. Step 6: Final answer
    x = 5,057.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.