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Finding the Fourth Proportional to 4,769.27, 7,154.85 and 1,847.60

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Solution

The fourth proportional to 4,769.27, 7,154.85 and 1,847.60 is: 2,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.27 : 7,154.85 = 1,847.60 : x
  2. Step 2: Convert to fraction form
    4,769.27/7,154.85 = 1,847.60/x
  3. Step 3: Cross multiply
    4,769.27x = 7,154.85 × 1,847.60
  4. Step 4: Simplify right side
    4,769.27x = 13,219,300.86
  5. Step 5: Solve for x
    x = 13,219,300.86/4,769.27
  6. Step 6: Final answer
    x = 2,771.77

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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.