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Finding the Fourth Proportional to 5,438.45, 8,158.13 and 1,741.21

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Solution

The fourth proportional to 5,438.45, 8,158.13 and 1,741.21 is: 2,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.45 : 8,158.13 = 1,741.21 : x
  2. Step 2: Convert to fraction form
    5,438.45/8,158.13 = 1,741.21/x
  3. Step 3: Cross multiply
    5,438.45x = 8,158.13 × 1,741.21
  4. Step 4: Simplify right side
    5,438.45x = 14,205,017.54
  5. Step 5: Solve for x
    x = 14,205,017.54/5,438.45
  6. Step 6: Final answer
    x = 2,611.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.