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Finding the Fourth Proportional to 5,896.50, 8,844.56 and 2,000.94

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Solution

The fourth proportional to 5,896.50, 8,844.56 and 2,000.94 is: 3,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.50 : 8,844.56 = 2,000.94 : x
  2. Step 2: Convert to fraction form
    5,896.50/8,844.56 = 2,000.94/x
  3. Step 3: Cross multiply
    5,896.50x = 8,844.56 × 2,000.94
  4. Step 4: Simplify right side
    5,896.50x = 17,697,433.89
  5. Step 5: Solve for x
    x = 17,697,433.89/5,896.50
  6. Step 6: Final answer
    x = 3,001.35

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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.