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Finding the Fourth Proportional to 3,431.60, 5,136.60 and 3,323.60

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Solution

The fourth proportional to 3,431.60, 5,136.60 and 3,323.60 is: 4,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.60 : 5,136.60 = 3,323.60 : x
  2. Step 2: Convert to fraction form
    3,431.60/5,136.60 = 3,323.60/x
  3. Step 3: Cross multiply
    3,431.60x = 5,136.60 × 3,323.60
  4. Step 4: Simplify right side
    3,431.60x = 17,072,003.76
  5. Step 5: Solve for x
    x = 17,072,003.76/3,431.60
  6. Step 6: Final answer
    x = 4,974.94

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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.