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Finding the Fourth Proportional to 4,778.24, 7,161.89 and 2,004.39

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Solution

The fourth proportional to 4,778.24, 7,161.89 and 2,004.39 is: 3,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.24 : 7,161.89 = 2,004.39 : x
  2. Step 2: Convert to fraction form
    4,778.24/7,161.89 = 2,004.39/x
  3. Step 3: Cross multiply
    4,778.24x = 7,161.89 × 2,004.39
  4. Step 4: Simplify right side
    4,778.24x = 14,355,210.68
  5. Step 5: Solve for x
    x = 14,355,210.68/4,778.24
  6. Step 6: Final answer
    x = 3,004.29

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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.