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Finding the Fourth Proportional to 3,523.44, 5,284.68 and 926.56

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Solution

The fourth proportional to 3,523.44, 5,284.68 and 926.56 is: 1,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.44 : 5,284.68 = 926.56 : x
  2. Step 2: Convert to fraction form
    3,523.44/5,284.68 = 926.56/x
  3. Step 3: Cross multiply
    3,523.44x = 5,284.68 × 926.56
  4. Step 4: Simplify right side
    3,523.44x = 4,896,573.10
  5. Step 5: Solve for x
    x = 4,896,573.10/3,523.44
  6. Step 6: Final answer
    x = 1,389.71

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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.