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Finding the Fourth Proportional to 4,178.92, 5,769.06 and 2,855.08

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Solution

The fourth proportional to 4,178.92, 5,769.06 and 2,855.08 is: 3,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.92 : 5,769.06 = 2,855.08 : x
  2. Step 2: Convert to fraction form
    4,178.92/5,769.06 = 2,855.08/x
  3. Step 3: Cross multiply
    4,178.92x = 5,769.06 × 2,855.08
  4. Step 4: Simplify right side
    4,178.92x = 16,471,127.82
  5. Step 5: Solve for x
    x = 16,471,127.82/4,178.92
  6. Step 6: Final answer
    x = 3,941.48

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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.