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Finding the Fourth Proportional to 3,845.32, 5,769.80 and 2,288.40

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Solution

The fourth proportional to 3,845.32, 5,769.80 and 2,288.40 is: 3,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.32 : 5,769.80 = 2,288.40 : x
  2. Step 2: Convert to fraction form
    3,845.32/5,769.80 = 2,288.40/x
  3. Step 3: Cross multiply
    3,845.32x = 5,769.80 × 2,288.40
  4. Step 4: Simplify right side
    3,845.32x = 13,203,570.03
  5. Step 5: Solve for x
    x = 13,203,570.03/3,845.32
  6. Step 6: Final answer
    x = 3,433.68

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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.