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Finding the Fourth Proportional to 3,673.29, 5,069.14 and 1,994.69

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Solution

The fourth proportional to 3,673.29, 5,069.14 and 1,994.69 is: 2,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.29 : 5,069.14 = 1,994.69 : x
  2. Step 2: Convert to fraction form
    3,673.29/5,069.14 = 1,994.69/x
  3. Step 3: Cross multiply
    3,673.29x = 5,069.14 × 1,994.69
  4. Step 4: Simplify right side
    3,673.29x = 10,111,362.87
  5. Step 5: Solve for x
    x = 10,111,362.87/3,673.29
  6. Step 6: Final answer
    x = 2,752.67

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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.