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Finding the Fourth Proportional to 3,564.34, 5,344.23 and 1,485.79

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Solution

The fourth proportional to 3,564.34, 5,344.23 and 1,485.79 is: 2,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.34 : 5,344.23 = 1,485.79 : x
  2. Step 2: Convert to fraction form
    3,564.34/5,344.23 = 1,485.79/x
  3. Step 3: Cross multiply
    3,564.34x = 5,344.23 × 1,485.79
  4. Step 4: Simplify right side
    3,564.34x = 7,940,403.49
  5. Step 5: Solve for x
    x = 7,940,403.49/3,564.34
  6. Step 6: Final answer
    x = 2,227.73

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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.