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Finding the Fourth Proportional to 3,850.65, 5,776.16 and 2,000.60

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Solution

The fourth proportional to 3,850.65, 5,776.16 and 2,000.60 is: 3,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.65 : 5,776.16 = 2,000.60 : x
  2. Step 2: Convert to fraction form
    3,850.65/5,776.16 = 2,000.60/x
  3. Step 3: Cross multiply
    3,850.65x = 5,776.16 × 2,000.60
  4. Step 4: Simplify right side
    3,850.65x = 11,555,785.70
  5. Step 5: Solve for x
    x = 11,555,785.70/3,850.65
  6. Step 6: Final answer
    x = 3,001.00

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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.