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Finding the Fourth Proportional to 4,852.66, 6,694.77 and 2,986.42

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Solution

The fourth proportional to 4,852.66, 6,694.77 and 2,986.42 is: 4,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.66 : 6,694.77 = 2,986.42 : x
  2. Step 2: Convert to fraction form
    4,852.66/6,694.77 = 2,986.42/x
  3. Step 3: Cross multiply
    4,852.66x = 6,694.77 × 2,986.42
  4. Step 4: Simplify right side
    4,852.66x = 19,993,395.02
  5. Step 5: Solve for x
    x = 19,993,395.02/4,852.66
  6. Step 6: Final answer
    x = 4,120.09

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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.