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Finding the Fourth Proportional to 3,913.90, 5,408.21 and 3,081.02

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Solution

The fourth proportional to 3,913.90, 5,408.21 and 3,081.02 is: 4,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.90 : 5,408.21 = 3,081.02 : x
  2. Step 2: Convert to fraction form
    3,913.90/5,408.21 = 3,081.02/x
  3. Step 3: Cross multiply
    3,913.90x = 5,408.21 × 3,081.02
  4. Step 4: Simplify right side
    3,913.90x = 16,662,783.84
  5. Step 5: Solve for x
    x = 16,662,783.84/3,913.90
  6. Step 6: Final answer
    x = 4,257.34

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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.