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Finding the Fourth Proportional to 3,847.99, 5,309.90 and 2,169.81

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Solution

The fourth proportional to 3,847.99, 5,309.90 and 2,169.81 is: 2,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.99 : 5,309.90 = 2,169.81 : x
  2. Step 2: Convert to fraction form
    3,847.99/5,309.90 = 2,169.81/x
  3. Step 3: Cross multiply
    3,847.99x = 5,309.90 × 2,169.81
  4. Step 4: Simplify right side
    3,847.99x = 11,521,479.54
  5. Step 5: Solve for x
    x = 11,521,479.54/3,847.99
  6. Step 6: Final answer
    x = 2,994.16

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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.