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Finding the Fourth Proportional to 3,942.26, 5,915.20 and 1,477.28

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Solution

The fourth proportional to 3,942.26, 5,915.20 and 1,477.28 is: 2,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.26 : 5,915.20 = 1,477.28 : x
  2. Step 2: Convert to fraction form
    3,942.26/5,915.20 = 1,477.28/x
  3. Step 3: Cross multiply
    3,942.26x = 5,915.20 × 1,477.28
  4. Step 4: Simplify right side
    3,942.26x = 8,738,406.66
  5. Step 5: Solve for x
    x = 8,738,406.66/3,942.26
  6. Step 6: Final answer
    x = 2,216.60

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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.