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Finding the Fourth Proportional to 3,876.80, 5,349.76 and 2,384.80

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Solution

The fourth proportional to 3,876.80, 5,349.76 and 2,384.80 is: 3,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,349.76 = 2,384.80 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,349.76 = 2,384.80/x
  3. Step 3: Cross multiply
    3,876.80x = 5,349.76 × 2,384.80
  4. Step 4: Simplify right side
    3,876.80x = 12,758,107.65
  5. Step 5: Solve for x
    x = 12,758,107.65/3,876.80
  6. Step 6: Final answer
    x = 3,290.89

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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.