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Finding the Fourth Proportional to 4,470.96, 6,676.31 and 3,650.83

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Solution

The fourth proportional to 4,470.96, 6,676.31 and 3,650.83 is: 5,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.96 : 6,676.31 = 3,650.83 : x
  2. Step 2: Convert to fraction form
    4,470.96/6,676.31 = 3,650.83/x
  3. Step 3: Cross multiply
    4,470.96x = 6,676.31 × 3,650.83
  4. Step 4: Simplify right side
    4,470.96x = 24,374,072.84
  5. Step 5: Solve for x
    x = 24,374,072.84/4,470.96
  6. Step 6: Final answer
    x = 5,451.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.