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Finding the Fourth Proportional to 4,021.44, 5,997 and 3,875.64

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Solution

The fourth proportional to 4,021.44, 5,997 and 3,875.64 is: 5,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.44 : 5,997 = 3,875.64 : x
  2. Step 2: Convert to fraction form
    4,021.44/5,997 = 3,875.64/x
  3. Step 3: Cross multiply
    4,021.44x = 5,997 × 3,875.64
  4. Step 4: Simplify right side
    4,021.44x = 23,242,213.08
  5. Step 5: Solve for x
    x = 23,242,213.08/4,021.44
  6. Step 6: Final answer
    x = 5,779.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.