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Finding the Fourth Proportional to 5,189.74, 7,785.09 and 2,068.99

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Solution

The fourth proportional to 5,189.74, 7,785.09 and 2,068.99 is: 3,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.74 : 7,785.09 = 2,068.99 : x
  2. Step 2: Convert to fraction form
    5,189.74/7,785.09 = 2,068.99/x
  3. Step 3: Cross multiply
    5,189.74x = 7,785.09 × 2,068.99
  4. Step 4: Simplify right side
    5,189.74x = 16,107,224.09
  5. Step 5: Solve for x
    x = 16,107,224.09/5,189.74
  6. Step 6: Final answer
    x = 3,103.67

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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.