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Finding the Fourth Proportional to 5,942.88, 8,908.32 and 4,295.40

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Solution

The fourth proportional to 5,942.88, 8,908.32 and 4,295.40 is: 6,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.88 : 8,908.32 = 4,295.40 : x
  2. Step 2: Convert to fraction form
    5,942.88/8,908.32 = 4,295.40/x
  3. Step 3: Cross multiply
    5,942.88x = 8,908.32 × 4,295.40
  4. Step 4: Simplify right side
    5,942.88x = 38,264,797.73
  5. Step 5: Solve for x
    x = 38,264,797.73/5,942.88
  6. Step 6: Final answer
    x = 6,438.76

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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.