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Finding the Fourth Proportional to 4,676.67, 6,456.13 and 3,261.49

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Solution

The fourth proportional to 4,676.67, 6,456.13 and 3,261.49 is: 4,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.67 : 6,456.13 = 3,261.49 : x
  2. Step 2: Convert to fraction form
    4,676.67/6,456.13 = 3,261.49/x
  3. Step 3: Cross multiply
    4,676.67x = 6,456.13 × 3,261.49
  4. Step 4: Simplify right side
    4,676.67x = 21,056,579.14
  5. Step 5: Solve for x
    x = 21,056,579.14/4,676.67
  6. Step 6: Final answer
    x = 4,502.47

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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.