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Finding the Fourth Proportional to 3,769.34, 5,652.83 and 1,270.04

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Solution

The fourth proportional to 3,769.34, 5,652.83 and 1,270.04 is: 1,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.34 : 5,652.83 = 1,270.04 : x
  2. Step 2: Convert to fraction form
    3,769.34/5,652.83 = 1,270.04/x
  3. Step 3: Cross multiply
    3,769.34x = 5,652.83 × 1,270.04
  4. Step 4: Simplify right side
    3,769.34x = 7,179,295.12
  5. Step 5: Solve for x
    x = 7,179,295.12/3,769.34
  6. Step 6: Final answer
    x = 1,904.66

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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.