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Finding the Fourth Proportional to 5,942.12, 8,924.72 and 4,375.94

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Solution

The fourth proportional to 5,942.12, 8,924.72 and 4,375.94 is: 6,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.12 : 8,924.72 = 4,375.94 : x
  2. Step 2: Convert to fraction form
    5,942.12/8,924.72 = 4,375.94/x
  3. Step 3: Cross multiply
    5,942.12x = 8,924.72 × 4,375.94
  4. Step 4: Simplify right side
    5,942.12x = 39,053,972.73
  5. Step 5: Solve for x
    x = 39,053,972.73/5,942.12
  6. Step 6: Final answer
    x = 6,572.40

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Why These Related Problems?

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