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Finding the Fourth Proportional to 4,596.68, 6,893.80 and 1,999

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Solution

The fourth proportional to 4,596.68, 6,893.80 and 1,999 is: 2,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.68 : 6,893.80 = 1,999 : x
  2. Step 2: Convert to fraction form
    4,596.68/6,893.80 = 1,999/x
  3. Step 3: Cross multiply
    4,596.68x = 6,893.80 × 1,999
  4. Step 4: Simplify right side
    4,596.68x = 13,780,706.20
  5. Step 5: Solve for x
    x = 13,780,706.20/4,596.68
  6. Step 6: Final answer
    x = 2,997.97

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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.