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Finding the Fourth Proportional to 4,406.94, 6,611.54 and 1,942.24

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Solution

The fourth proportional to 4,406.94, 6,611.54 and 1,942.24 is: 2,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.94 : 6,611.54 = 1,942.24 : x
  2. Step 2: Convert to fraction form
    4,406.94/6,611.54 = 1,942.24/x
  3. Step 3: Cross multiply
    4,406.94x = 6,611.54 × 1,942.24
  4. Step 4: Simplify right side
    4,406.94x = 12,841,197.45
  5. Step 5: Solve for x
    x = 12,841,197.45/4,406.94
  6. Step 6: Final answer
    x = 2,913.86

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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.