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Finding the Fourth Proportional to 4,704.57, 7,056.85 and 1,194.84

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Solution

The fourth proportional to 4,704.57, 7,056.85 and 1,194.84 is: 1,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.57 : 7,056.85 = 1,194.84 : x
  2. Step 2: Convert to fraction form
    4,704.57/7,056.85 = 1,194.84/x
  3. Step 3: Cross multiply
    4,704.57x = 7,056.85 × 1,194.84
  4. Step 4: Simplify right side
    4,704.57x = 8,431,791.10
  5. Step 5: Solve for x
    x = 8,431,791.10/4,704.57
  6. Step 6: Final answer
    x = 1,792.26

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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.