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Finding the Fourth Proportional to 5,611.44, 8,406.37 and 3,138.76

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Solution

The fourth proportional to 5,611.44, 8,406.37 and 3,138.76 is: 4,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.44 : 8,406.37 = 3,138.76 : x
  2. Step 2: Convert to fraction form
    5,611.44/8,406.37 = 3,138.76/x
  3. Step 3: Cross multiply
    5,611.44x = 8,406.37 × 3,138.76
  4. Step 4: Simplify right side
    5,611.44x = 26,385,562.21
  5. Step 5: Solve for x
    x = 26,385,562.21/5,611.44
  6. Step 6: Final answer
    x = 4,702.11

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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.