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Finding the Fourth Proportional to 4,362.96, 6,542.32 and 1,589.20

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Solution

The fourth proportional to 4,362.96, 6,542.32 and 1,589.20 is: 2,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.96 : 6,542.32 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    4,362.96/6,542.32 = 1,589.20/x
  3. Step 3: Cross multiply
    4,362.96x = 6,542.32 × 1,589.20
  4. Step 4: Simplify right side
    4,362.96x = 10,397,054.94
  5. Step 5: Solve for x
    x = 10,397,054.94/4,362.96
  6. Step 6: Final answer
    x = 2,383.03

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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.