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Finding the Fourth Proportional to 4,889.80, 6,747.50 and 2,873

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Solution

The fourth proportional to 4,889.80, 6,747.50 and 2,873 is: 3,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.80 : 6,747.50 = 2,873 : x
  2. Step 2: Convert to fraction form
    4,889.80/6,747.50 = 2,873/x
  3. Step 3: Cross multiply
    4,889.80x = 6,747.50 × 2,873
  4. Step 4: Simplify right side
    4,889.80x = 19,385,567.50
  5. Step 5: Solve for x
    x = 19,385,567.50/4,889.80
  6. Step 6: Final answer
    x = 3,964.49

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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.