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Finding the Fourth Proportional to 4,182.48, 5,769.72 and 2,856.24

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Solution

The fourth proportional to 4,182.48, 5,769.72 and 2,856.24 is: 3,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.48 : 5,769.72 = 2,856.24 : x
  2. Step 2: Convert to fraction form
    4,182.48/5,769.72 = 2,856.24/x
  3. Step 3: Cross multiply
    4,182.48x = 5,769.72 × 2,856.24
  4. Step 4: Simplify right side
    4,182.48x = 16,479,705.05
  5. Step 5: Solve for x
    x = 16,479,705.05/4,182.48
  6. Step 6: Final answer
    x = 3,940.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.