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Finding the Fourth Proportional to 4,676.66, 6,454.49 and 2,908.83

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Solution

The fourth proportional to 4,676.66, 6,454.49 and 2,908.83 is: 4,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.66 : 6,454.49 = 2,908.83 : x
  2. Step 2: Convert to fraction form
    4,676.66/6,454.49 = 2,908.83/x
  3. Step 3: Cross multiply
    4,676.66x = 6,454.49 × 2,908.83
  4. Step 4: Simplify right side
    4,676.66x = 18,774,999.60
  5. Step 5: Solve for x
    x = 18,774,999.60/4,676.66
  6. Step 6: Final answer
    x = 4,014.62

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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.