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Finding the Fourth Proportional to 3,924.99, 5,418.54 and 3,026.75

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Solution

The fourth proportional to 3,924.99, 5,418.54 and 3,026.75 is: 4,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.99 : 5,418.54 = 3,026.75 : x
  2. Step 2: Convert to fraction form
    3,924.99/5,418.54 = 3,026.75/x
  3. Step 3: Cross multiply
    3,924.99x = 5,418.54 × 3,026.75
  4. Step 4: Simplify right side
    3,924.99x = 16,400,538.85
  5. Step 5: Solve for x
    x = 16,400,538.85/3,924.99
  6. Step 6: Final answer
    x = 4,178.49

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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.