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Finding the Fourth Proportional to 4,128.54, 5,699.07 and 3,078.78

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Solution

The fourth proportional to 4,128.54, 5,699.07 and 3,078.78 is: 4,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.54 : 5,699.07 = 3,078.78 : x
  2. Step 2: Convert to fraction form
    4,128.54/5,699.07 = 3,078.78/x
  3. Step 3: Cross multiply
    4,128.54x = 5,699.07 × 3,078.78
  4. Step 4: Simplify right side
    4,128.54x = 17,546,182.73
  5. Step 5: Solve for x
    x = 17,546,182.73/4,128.54
  6. Step 6: Final answer
    x = 4,249.97

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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.