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Finding the Fourth Proportional to 4,072.64, 6,109.31 and 1,299.71

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Solution

The fourth proportional to 4,072.64, 6,109.31 and 1,299.71 is: 1,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.64 : 6,109.31 = 1,299.71 : x
  2. Step 2: Convert to fraction form
    4,072.64/6,109.31 = 1,299.71/x
  3. Step 3: Cross multiply
    4,072.64x = 6,109.31 × 1,299.71
  4. Step 4: Simplify right side
    4,072.64x = 7,940,317.16
  5. Step 5: Solve for x
    x = 7,940,317.16/4,072.64
  6. Step 6: Final answer
    x = 1,949.67

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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.