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Finding the Fourth Proportional to 4,842.99, 6,683.45 and 2,747.25

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Solution

The fourth proportional to 4,842.99, 6,683.45 and 2,747.25 is: 3,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.99 : 6,683.45 = 2,747.25 : x
  2. Step 2: Convert to fraction form
    4,842.99/6,683.45 = 2,747.25/x
  3. Step 3: Cross multiply
    4,842.99x = 6,683.45 × 2,747.25
  4. Step 4: Simplify right side
    4,842.99x = 18,361,094.28
  5. Step 5: Solve for x
    x = 18,361,094.28/4,842.99
  6. Step 6: Final answer
    x = 3,791.27

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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.