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Finding the Fourth Proportional to 3,523.27, 5,285.21 and 926.20

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Solution

The fourth proportional to 3,523.27, 5,285.21 and 926.20 is: 1,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.27 : 5,285.21 = 926.20 : x
  2. Step 2: Convert to fraction form
    3,523.27/5,285.21 = 926.20/x
  3. Step 3: Cross multiply
    3,523.27x = 5,285.21 × 926.20
  4. Step 4: Simplify right side
    3,523.27x = 4,895,178.60
  5. Step 5: Solve for x
    x = 4,895,178.60/3,523.27
  6. Step 6: Final answer
    x = 1,389.39

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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.