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Finding the Fourth Proportional to 3,993.66, 5,955.30 and 3,716.64

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Solution

The fourth proportional to 3,993.66, 5,955.30 and 3,716.64 is: 5,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.66 : 5,955.30 = 3,716.64 : x
  2. Step 2: Convert to fraction form
    3,993.66/5,955.30 = 3,716.64/x
  3. Step 3: Cross multiply
    3,993.66x = 5,955.30 × 3,716.64
  4. Step 4: Simplify right side
    3,993.66x = 22,133,706.19
  5. Step 5: Solve for x
    x = 22,133,706.19/3,993.66
  6. Step 6: Final answer
    x = 5,542.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.