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Finding the Fourth Proportional to 4,218.62, 6,326.82 and 1,256.25

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Solution

The fourth proportional to 4,218.62, 6,326.82 and 1,256.25 is: 1,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.62 : 6,326.82 = 1,256.25 : x
  2. Step 2: Convert to fraction form
    4,218.62/6,326.82 = 1,256.25/x
  3. Step 3: Cross multiply
    4,218.62x = 6,326.82 × 1,256.25
  4. Step 4: Simplify right side
    4,218.62x = 7,948,067.63
  5. Step 5: Solve for x
    x = 7,948,067.63/4,218.62
  6. Step 6: Final answer
    x = 1,884.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.