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Finding the Fourth Proportional to 4,338.16, 5,980.44 and 3,094

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Solution

The fourth proportional to 4,338.16, 5,980.44 and 3,094 is: 4,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.16 : 5,980.44 = 3,094 : x
  2. Step 2: Convert to fraction form
    4,338.16/5,980.44 = 3,094/x
  3. Step 3: Cross multiply
    4,338.16x = 5,980.44 × 3,094
  4. Step 4: Simplify right side
    4,338.16x = 18,503,481.36
  5. Step 5: Solve for x
    x = 18,503,481.36/4,338.16
  6. Step 6: Final answer
    x = 4,265.28

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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.