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Finding the Fourth Proportional to 4,333.78, 5,977.56 and 4,189.11

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Solution

The fourth proportional to 4,333.78, 5,977.56 and 4,189.11 is: 5,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.78 : 5,977.56 = 4,189.11 : x
  2. Step 2: Convert to fraction form
    4,333.78/5,977.56 = 4,189.11/x
  3. Step 3: Cross multiply
    4,333.78x = 5,977.56 × 4,189.11
  4. Step 4: Simplify right side
    4,333.78x = 25,040,656.37
  5. Step 5: Solve for x
    x = 25,040,656.37/4,333.78
  6. Step 6: Final answer
    x = 5,778.02

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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.