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Finding the Fourth Proportional to 3,687.36, 5,528.34 and 1,738.50

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Solution

The fourth proportional to 3,687.36, 5,528.34 and 1,738.50 is: 2,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.36 : 5,528.34 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    3,687.36/5,528.34 = 1,738.50/x
  3. Step 3: Cross multiply
    3,687.36x = 5,528.34 × 1,738.50
  4. Step 4: Simplify right side
    3,687.36x = 9,611,019.09
  5. Step 5: Solve for x
    x = 9,611,019.09/3,687.36
  6. Step 6: Final answer
    x = 2,606.48

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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.