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Finding the Fourth Proportional to 4,113.21, 5,676.21 and 3,778.50

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Solution

The fourth proportional to 4,113.21, 5,676.21 and 3,778.50 is: 5,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.21 : 5,676.21 = 3,778.50 : x
  2. Step 2: Convert to fraction form
    4,113.21/5,676.21 = 3,778.50/x
  3. Step 3: Cross multiply
    4,113.21x = 5,676.21 × 3,778.50
  4. Step 4: Simplify right side
    4,113.21x = 21,447,559.49
  5. Step 5: Solve for x
    x = 21,447,559.49/4,113.21
  6. Step 6: Final answer
    x = 5,214.31

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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.