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Finding the Fourth Proportional to 4,687.72, 6,466.23 and 3,094.38

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Solution

The fourth proportional to 4,687.72, 6,466.23 and 3,094.38 is: 4,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.72 : 6,466.23 = 3,094.38 : x
  2. Step 2: Convert to fraction form
    4,687.72/6,466.23 = 3,094.38/x
  3. Step 3: Cross multiply
    4,687.72x = 6,466.23 × 3,094.38
  4. Step 4: Simplify right side
    4,687.72x = 20,008,954.60
  5. Step 5: Solve for x
    x = 20,008,954.60/4,687.72
  6. Step 6: Final answer
    x = 4,268.37

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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.