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Finding the Fourth Proportional to 4,001.90, 5,997.60 and 1,779.98

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Solution

The fourth proportional to 4,001.90, 5,997.60 and 1,779.98 is: 2,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.90 : 5,997.60 = 1,779.98 : x
  2. Step 2: Convert to fraction form
    4,001.90/5,997.60 = 1,779.98/x
  3. Step 3: Cross multiply
    4,001.90x = 5,997.60 × 1,779.98
  4. Step 4: Simplify right side
    4,001.90x = 10,675,578.06
  5. Step 5: Solve for x
    x = 10,675,578.06/4,001.90
  6. Step 6: Final answer
    x = 2,667.63

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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.