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Finding the Fourth Proportional to 3,877.77, 5,355.68 and 3,004.14

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Solution

The fourth proportional to 3,877.77, 5,355.68 and 3,004.14 is: 4,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.77 : 5,355.68 = 3,004.14 : x
  2. Step 2: Convert to fraction form
    3,877.77/5,355.68 = 3,004.14/x
  3. Step 3: Cross multiply
    3,877.77x = 5,355.68 × 3,004.14
  4. Step 4: Simplify right side
    3,877.77x = 16,089,197.49
  5. Step 5: Solve for x
    x = 16,089,197.49/3,877.77
  6. Step 6: Final answer
    x = 4,149.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.