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Finding the Fourth Proportional to 3,769.20, 5,653.80 and 3,164.40

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Solution

The fourth proportional to 3,769.20, 5,653.80 and 3,164.40 is: 4,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.20 : 5,653.80 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    3,769.20/5,653.80 = 3,164.40/x
  3. Step 3: Cross multiply
    3,769.20x = 5,653.80 × 3,164.40
  4. Step 4: Simplify right side
    3,769.20x = 17,890,884.72
  5. Step 5: Solve for x
    x = 17,890,884.72/3,769.20
  6. Step 6: Final answer
    x = 4,746.60

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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.