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Finding the Fourth Proportional to 5,065.69, 6,991.46 and 2,969.81

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Solution

The fourth proportional to 5,065.69, 6,991.46 and 2,969.81 is: 4,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.69 : 6,991.46 = 2,969.81 : x
  2. Step 2: Convert to fraction form
    5,065.69/6,991.46 = 2,969.81/x
  3. Step 3: Cross multiply
    5,065.69x = 6,991.46 × 2,969.81
  4. Step 4: Simplify right side
    5,065.69x = 20,763,321.59
  5. Step 5: Solve for x
    x = 20,763,321.59/5,065.69
  6. Step 6: Final answer
    x = 4,098.82

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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.