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Finding the Fourth Proportional to 4,843, 6,683.52 and 2,747.08

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Solution

The fourth proportional to 4,843, 6,683.52 and 2,747.08 is: 3,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843 : 6,683.52 = 2,747.08 : x
  2. Step 2: Convert to fraction form
    4,843/6,683.52 = 2,747.08/x
  3. Step 3: Cross multiply
    4,843x = 6,683.52 × 2,747.08
  4. Step 4: Simplify right side
    4,843x = 18,360,164.12
  5. Step 5: Solve for x
    x = 18,360,164.12/4,843
  6. Step 6: Final answer
    x = 3,791.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.