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Finding the Fourth Proportional to 5,896.21, 8,844.32 and 2,000.65

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Solution

The fourth proportional to 5,896.21, 8,844.32 and 2,000.65 is: 3,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.21 : 8,844.32 = 2,000.65 : x
  2. Step 2: Convert to fraction form
    5,896.21/8,844.32 = 2,000.65/x
  3. Step 3: Cross multiply
    5,896.21x = 8,844.32 × 2,000.65
  4. Step 4: Simplify right side
    5,896.21x = 17,694,388.81
  5. Step 5: Solve for x
    x = 17,694,388.81/5,896.21
  6. Step 6: Final answer
    x = 3,000.98

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Why These Related Problems?

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