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Finding the Fourth Proportional to 3,585.43, 5,378.23 and 1,736.20

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Solution

The fourth proportional to 3,585.43, 5,378.23 and 1,736.20 is: 2,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.43 : 5,378.23 = 1,736.20 : x
  2. Step 2: Convert to fraction form
    3,585.43/5,378.23 = 1,736.20/x
  3. Step 3: Cross multiply
    3,585.43x = 5,378.23 × 1,736.20
  4. Step 4: Simplify right side
    3,585.43x = 9,337,656.03
  5. Step 5: Solve for x
    x = 9,337,656.03/3,585.43
  6. Step 6: Final answer
    x = 2,604.34

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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.