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Finding the Fourth Proportional to 4,467.98, 6,704.99 and 1,835.96

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Solution

The fourth proportional to 4,467.98, 6,704.99 and 1,835.96 is: 2,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.98 : 6,704.99 = 1,835.96 : x
  2. Step 2: Convert to fraction form
    4,467.98/6,704.99 = 1,835.96/x
  3. Step 3: Cross multiply
    4,467.98x = 6,704.99 × 1,835.96
  4. Step 4: Simplify right side
    4,467.98x = 12,310,050.74
  5. Step 5: Solve for x
    x = 12,310,050.74/4,467.98
  6. Step 6: Final answer
    x = 2,755.17

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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.