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Finding the Fourth Proportional to 3,964.52, 5,973.16 and 3,589.52

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Solution

The fourth proportional to 3,964.52, 5,973.16 and 3,589.52 is: 5,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.52 : 5,973.16 = 3,589.52 : x
  2. Step 2: Convert to fraction form
    3,964.52/5,973.16 = 3,589.52/x
  3. Step 3: Cross multiply
    3,964.52x = 5,973.16 × 3,589.52
  4. Step 4: Simplify right side
    3,964.52x = 21,440,759.34
  5. Step 5: Solve for x
    x = 21,440,759.34/3,964.52
  6. Step 6: Final answer
    x = 5,408.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.