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Finding the Fourth Proportional to 4,450.86, 6,142.05 and 2,461.41

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Solution

The fourth proportional to 4,450.86, 6,142.05 and 2,461.41 is: 3,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.86 : 6,142.05 = 2,461.41 : x
  2. Step 2: Convert to fraction form
    4,450.86/6,142.05 = 2,461.41/x
  3. Step 3: Cross multiply
    4,450.86x = 6,142.05 × 2,461.41
  4. Step 4: Simplify right side
    4,450.86x = 15,118,103.29
  5. Step 5: Solve for x
    x = 15,118,103.29/4,450.86
  6. Step 6: Final answer
    x = 3,396.67

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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.