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Finding the Fourth Proportional to 3,418.80, 4,716.79 and 2,788.23

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Solution

The fourth proportional to 3,418.80, 4,716.79 and 2,788.23 is: 3,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.80 : 4,716.79 = 2,788.23 : x
  2. Step 2: Convert to fraction form
    3,418.80/4,716.79 = 2,788.23/x
  3. Step 3: Cross multiply
    3,418.80x = 4,716.79 × 2,788.23
  4. Step 4: Simplify right side
    3,418.80x = 13,151,495.38
  5. Step 5: Solve for x
    x = 13,151,495.38/3,418.80
  6. Step 6: Final answer
    x = 3,846.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.