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Finding the Fourth Proportional to 5,478.25, 8,213.27 and 1,778.27

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Solution

The fourth proportional to 5,478.25, 8,213.27 and 1,778.27 is: 2,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.25 : 8,213.27 = 1,778.27 : x
  2. Step 2: Convert to fraction form
    5,478.25/8,213.27 = 1,778.27/x
  3. Step 3: Cross multiply
    5,478.25x = 8,213.27 × 1,778.27
  4. Step 4: Simplify right side
    5,478.25x = 14,605,416.09
  5. Step 5: Solve for x
    x = 14,605,416.09/5,478.25
  6. Step 6: Final answer
    x = 2,666.07

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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.