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Finding the Fourth Proportional to 4,651.22, 6,418.65 and 2,661.68

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Solution

The fourth proportional to 4,651.22, 6,418.65 and 2,661.68 is: 3,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.22 : 6,418.65 = 2,661.68 : x
  2. Step 2: Convert to fraction form
    4,651.22/6,418.65 = 2,661.68/x
  3. Step 3: Cross multiply
    4,651.22x = 6,418.65 × 2,661.68
  4. Step 4: Simplify right side
    4,651.22x = 17,084,392.33
  5. Step 5: Solve for x
    x = 17,084,392.33/4,651.22
  6. Step 6: Final answer
    x = 3,673.10

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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.