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Finding the Fourth Proportional to 3,600.47, 5,400.26 and 968.17

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Solution

The fourth proportional to 3,600.47, 5,400.26 and 968.17 is: 1,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.47 : 5,400.26 = 968.17 : x
  2. Step 2: Convert to fraction form
    3,600.47/5,400.26 = 968.17/x
  3. Step 3: Cross multiply
    3,600.47x = 5,400.26 × 968.17
  4. Step 4: Simplify right side
    3,600.47x = 5,228,369.72
  5. Step 5: Solve for x
    x = 5,228,369.72/3,600.47
  6. Step 6: Final answer
    x = 1,452.14

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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.