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Finding the Fourth Proportional to 5,898, 8,846.81 and 2,002.44

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Solution

The fourth proportional to 5,898, 8,846.81 and 2,002.44 is: 3,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898 : 8,846.81 = 2,002.44 : x
  2. Step 2: Convert to fraction form
    5,898/8,846.81 = 2,002.44/x
  3. Step 3: Cross multiply
    5,898x = 8,846.81 × 2,002.44
  4. Step 4: Simplify right side
    5,898x = 17,715,206.22
  5. Step 5: Solve for x
    x = 17,715,206.22/5,898
  6. Step 6: Final answer
    x = 3,003.60

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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.