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Finding the Fourth Proportional to 4,012.84, 6,014.56 and 2,693.80

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Solution

The fourth proportional to 4,012.84, 6,014.56 and 2,693.80 is: 4,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.84 : 6,014.56 = 2,693.80 : x
  2. Step 2: Convert to fraction form
    4,012.84/6,014.56 = 2,693.80/x
  3. Step 3: Cross multiply
    4,012.84x = 6,014.56 × 2,693.80
  4. Step 4: Simplify right side
    4,012.84x = 16,202,021.73
  5. Step 5: Solve for x
    x = 16,202,021.73/4,012.84
  6. Step 6: Final answer
    x = 4,037.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.