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Finding the Fourth Proportional to 5,057.58, 6,978.72 and 3,067.80

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Solution

The fourth proportional to 5,057.58, 6,978.72 and 3,067.80 is: 4,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.58 : 6,978.72 = 3,067.80 : x
  2. Step 2: Convert to fraction form
    5,057.58/6,978.72 = 3,067.80/x
  3. Step 3: Cross multiply
    5,057.58x = 6,978.72 × 3,067.80
  4. Step 4: Simplify right side
    5,057.58x = 21,409,317.22
  5. Step 5: Solve for x
    x = 21,409,317.22/5,057.58
  6. Step 6: Final answer
    x = 4,233.11

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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.