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Finding the Fourth Proportional to 4,113.76, 5,676.96 and 2,250.76

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Solution

The fourth proportional to 4,113.76, 5,676.96 and 2,250.76 is: 3,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.76 : 5,676.96 = 2,250.76 : x
  2. Step 2: Convert to fraction form
    4,113.76/5,676.96 = 2,250.76/x
  3. Step 3: Cross multiply
    4,113.76x = 5,676.96 × 2,250.76
  4. Step 4: Simplify right side
    4,113.76x = 12,777,474.49
  5. Step 5: Solve for x
    x = 12,777,474.49/4,113.76
  6. Step 6: Final answer
    x = 3,106.03

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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.