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Finding the Fourth Proportional to 3,783.26, 5,670.66 and 2,855.81

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Solution

The fourth proportional to 3,783.26, 5,670.66 and 2,855.81 is: 4,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.26 : 5,670.66 = 2,855.81 : x
  2. Step 2: Convert to fraction form
    3,783.26/5,670.66 = 2,855.81/x
  3. Step 3: Cross multiply
    3,783.26x = 5,670.66 × 2,855.81
  4. Step 4: Simplify right side
    3,783.26x = 16,194,299.18
  5. Step 5: Solve for x
    x = 16,194,299.18/3,783.26
  6. Step 6: Final answer
    x = 4,280.52

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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.