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Finding the Fourth Proportional to 4,769.57, 7,153.74 and 1,845.87

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Solution

The fourth proportional to 4,769.57, 7,153.74 and 1,845.87 is: 2,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.57 : 7,153.74 = 1,845.87 : x
  2. Step 2: Convert to fraction form
    4,769.57/7,153.74 = 1,845.87/x
  3. Step 3: Cross multiply
    4,769.57x = 7,153.74 × 1,845.87
  4. Step 4: Simplify right side
    4,769.57x = 13,204,874.05
  5. Step 5: Solve for x
    x = 13,204,874.05/4,769.57
  6. Step 6: Final answer
    x = 2,768.57

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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.