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Finding the Fourth Proportional to 3,942.66, 5,908.88 and 1,599.94

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Solution

The fourth proportional to 3,942.66, 5,908.88 and 1,599.94 is: 2,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.66 : 5,908.88 = 1,599.94 : x
  2. Step 2: Convert to fraction form
    3,942.66/5,908.88 = 1,599.94/x
  3. Step 3: Cross multiply
    3,942.66x = 5,908.88 × 1,599.94
  4. Step 4: Simplify right side
    3,942.66x = 9,453,853.47
  5. Step 5: Solve for x
    x = 9,453,853.47/3,942.66
  6. Step 6: Final answer
    x = 2,397.84

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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.