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Finding the Fourth Proportional to 4,596.42, 6,893.42 and 1,998.75

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Solution

The fourth proportional to 4,596.42, 6,893.42 and 1,998.75 is: 2,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.42 : 6,893.42 = 1,998.75 : x
  2. Step 2: Convert to fraction form
    4,596.42/6,893.42 = 1,998.75/x
  3. Step 3: Cross multiply
    4,596.42x = 6,893.42 × 1,998.75
  4. Step 4: Simplify right side
    4,596.42x = 13,778,213.23
  5. Step 5: Solve for x
    x = 13,778,213.23/4,596.42
  6. Step 6: Final answer
    x = 2,997.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.