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Finding the Fourth Proportional to 4,769.24, 7,155 and 3,853.08

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Solution

The fourth proportional to 4,769.24, 7,155 and 3,853.08 is: 5,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.24 : 7,155 = 3,853.08 : x
  2. Step 2: Convert to fraction form
    4,769.24/7,155 = 3,853.08/x
  3. Step 3: Cross multiply
    4,769.24x = 7,155 × 3,853.08
  4. Step 4: Simplify right side
    4,769.24x = 27,568,787.40
  5. Step 5: Solve for x
    x = 27,568,787.40/4,769.24
  6. Step 6: Final answer
    x = 5,780.54

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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.