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Finding the Fourth Proportional to 3,593.40, 5,392.32 and 1,402.08

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Solution

The fourth proportional to 3,593.40, 5,392.32 and 1,402.08 is: 2,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.40 : 5,392.32 = 1,402.08 : x
  2. Step 2: Convert to fraction form
    3,593.40/5,392.32 = 1,402.08/x
  3. Step 3: Cross multiply
    3,593.40x = 5,392.32 × 1,402.08
  4. Step 4: Simplify right side
    3,593.40x = 7,560,464.03
  5. Step 5: Solve for x
    x = 7,560,464.03/3,593.40
  6. Step 6: Final answer
    x = 2,103.99

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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.