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Finding the Fourth Proportional to 4,739.31, 7,108.97 and 4,609.71

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Solution

The fourth proportional to 4,739.31, 7,108.97 and 4,609.71 is: 6,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.31 : 7,108.97 = 4,609.71 : x
  2. Step 2: Convert to fraction form
    4,739.31/7,108.97 = 4,609.71/x
  3. Step 3: Cross multiply
    4,739.31x = 7,108.97 × 4,609.71
  4. Step 4: Simplify right side
    4,739.31x = 32,770,267.05
  5. Step 5: Solve for x
    x = 32,770,267.05/4,739.31
  6. Step 6: Final answer
    x = 6,914.57

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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.