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Finding the Fourth Proportional to 3,456.66, 4,768.36 and 2,262.32

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Solution

The fourth proportional to 3,456.66, 4,768.36 and 2,262.32 is: 3,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.66 : 4,768.36 = 2,262.32 : x
  2. Step 2: Convert to fraction form
    3,456.66/4,768.36 = 2,262.32/x
  3. Step 3: Cross multiply
    3,456.66x = 4,768.36 × 2,262.32
  4. Step 4: Simplify right side
    3,456.66x = 10,787,556.20
  5. Step 5: Solve for x
    x = 10,787,556.20/3,456.66
  6. Step 6: Final answer
    x = 3,120.80

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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.