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Finding the Fourth Proportional to 4,609.86, 6,916.41 and 2,013

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Solution

The fourth proportional to 4,609.86, 6,916.41 and 2,013 is: 3,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.86 : 6,916.41 = 2,013 : x
  2. Step 2: Convert to fraction form
    4,609.86/6,916.41 = 2,013/x
  3. Step 3: Cross multiply
    4,609.86x = 6,916.41 × 2,013
  4. Step 4: Simplify right side
    4,609.86x = 13,922,733.33
  5. Step 5: Solve for x
    x = 13,922,733.33/4,609.86
  6. Step 6: Final answer
    x = 3,020.21

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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.