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Finding the Fourth Proportional to 4,885.63, 6,742.23 and 2,789.75

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Solution

The fourth proportional to 4,885.63, 6,742.23 and 2,789.75 is: 3,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.63 : 6,742.23 = 2,789.75 : x
  2. Step 2: Convert to fraction form
    4,885.63/6,742.23 = 2,789.75/x
  3. Step 3: Cross multiply
    4,885.63x = 6,742.23 × 2,789.75
  4. Step 4: Simplify right side
    4,885.63x = 18,809,136.14
  5. Step 5: Solve for x
    x = 18,809,136.14/4,885.63
  6. Step 6: Final answer
    x = 3,849.89

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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.