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Finding the Fourth Proportional to 3,568.40, 5,352.60 and 3,136.40

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Solution

The fourth proportional to 3,568.40, 5,352.60 and 3,136.40 is: 4,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.40 : 5,352.60 = 3,136.40 : x
  2. Step 2: Convert to fraction form
    3,568.40/5,352.60 = 3,136.40/x
  3. Step 3: Cross multiply
    3,568.40x = 5,352.60 × 3,136.40
  4. Step 4: Simplify right side
    3,568.40x = 16,787,894.64
  5. Step 5: Solve for x
    x = 16,787,894.64/3,568.40
  6. Step 6: Final answer
    x = 4,704.60

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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.