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Finding the Fourth Proportional to 3,968.90, 5,464.56 and 3,021.65

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Solution

The fourth proportional to 3,968.90, 5,464.56 and 3,021.65 is: 4,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.90 : 5,464.56 = 3,021.65 : x
  2. Step 2: Convert to fraction form
    3,968.90/5,464.56 = 3,021.65/x
  3. Step 3: Cross multiply
    3,968.90x = 5,464.56 × 3,021.65
  4. Step 4: Simplify right side
    3,968.90x = 16,512,022.96
  5. Step 5: Solve for x
    x = 16,512,022.96/3,968.90
  6. Step 6: Final answer
    x = 4,160.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.