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Finding the Fourth Proportional to 4,676.80, 6,456.32 and 2,908.98

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Solution

The fourth proportional to 4,676.80, 6,456.32 and 2,908.98 is: 4,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.80 : 6,456.32 = 2,908.98 : x
  2. Step 2: Convert to fraction form
    4,676.80/6,456.32 = 2,908.98/x
  3. Step 3: Cross multiply
    4,676.80x = 6,456.32 × 2,908.98
  4. Step 4: Simplify right side
    4,676.80x = 18,781,305.75
  5. Step 5: Solve for x
    x = 18,781,305.75/4,676.80
  6. Step 6: Final answer
    x = 4,015.85

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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.