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Finding the Fourth Proportional to 5,896.90, 8,845.12 and 2,001.30

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Solution

The fourth proportional to 5,896.90, 8,845.12 and 2,001.30 is: 3,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.90 : 8,845.12 = 2,001.30 : x
  2. Step 2: Convert to fraction form
    5,896.90/8,845.12 = 2,001.30/x
  3. Step 3: Cross multiply
    5,896.90x = 8,845.12 × 2,001.30
  4. Step 4: Simplify right side
    5,896.90x = 17,701,738.66
  5. Step 5: Solve for x
    x = 17,701,738.66/5,896.90
  6. Step 6: Final answer
    x = 3,001.87

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1.5x scale

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.