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Finding the Fourth Proportional to 4,609.10, 6,908.19 and 2,609.82

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Solution

The fourth proportional to 4,609.10, 6,908.19 and 2,609.82 is: 3,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.10 : 6,908.19 = 2,609.82 : x
  2. Step 2: Convert to fraction form
    4,609.10/6,908.19 = 2,609.82/x
  3. Step 3: Cross multiply
    4,609.10x = 6,908.19 × 2,609.82
  4. Step 4: Simplify right side
    4,609.10x = 18,029,122.64
  5. Step 5: Solve for x
    x = 18,029,122.64/4,609.10
  6. Step 6: Final answer
    x = 3,911.63

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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.