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Finding the Fourth Proportional to 5,969.68, 8,234.66 and 4,080.36

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Solution

The fourth proportional to 5,969.68, 8,234.66 and 4,080.36 is: 5,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.68 : 8,234.66 = 4,080.36 : x
  2. Step 2: Convert to fraction form
    5,969.68/8,234.66 = 4,080.36/x
  3. Step 3: Cross multiply
    5,969.68x = 8,234.66 × 4,080.36
  4. Step 4: Simplify right side
    5,969.68x = 33,600,377.28
  5. Step 5: Solve for x
    x = 33,600,377.28/5,969.68
  6. Step 6: Final answer
    x = 5,628.51

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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.