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Finding the Fourth Proportional to 3,601.30, 5,402.22 and 968.80

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Solution

The fourth proportional to 3,601.30, 5,402.22 and 968.80 is: 1,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.30 : 5,402.22 = 968.80 : x
  2. Step 2: Convert to fraction form
    3,601.30/5,402.22 = 968.80/x
  3. Step 3: Cross multiply
    3,601.30x = 5,402.22 × 968.80
  4. Step 4: Simplify right side
    3,601.30x = 5,233,670.74
  5. Step 5: Solve for x
    x = 5,233,670.74/3,601.30
  6. Step 6: Final answer
    x = 1,453.27

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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.