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Finding the Fourth Proportional to 3,593.10, 5,387.81 and 1,643.63

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Solution

The fourth proportional to 3,593.10, 5,387.81 and 1,643.63 is: 2,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.10 : 5,387.81 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    3,593.10/5,387.81 = 1,643.63/x
  3. Step 3: Cross multiply
    3,593.10x = 5,387.81 × 1,643.63
  4. Step 4: Simplify right side
    3,593.10x = 8,855,530.99
  5. Step 5: Solve for x
    x = 8,855,530.99/3,593.10
  6. Step 6: Final answer
    x = 2,464.59

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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.