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Finding the Fourth Proportional to 4,814.25, 7,224.26 and 2,078.25

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Solution

The fourth proportional to 4,814.25, 7,224.26 and 2,078.25 is: 3,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.25 : 7,224.26 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    4,814.25/7,224.26 = 2,078.25/x
  3. Step 3: Cross multiply
    4,814.25x = 7,224.26 × 2,078.25
  4. Step 4: Simplify right side
    4,814.25x = 15,013,818.35
  5. Step 5: Solve for x
    x = 15,013,818.35/4,814.25
  6. Step 6: Final answer
    x = 3,118.62

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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.