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Finding the Fourth Proportional to 3,966.84, 5,942.58 and 3,052.92

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Solution

The fourth proportional to 3,966.84, 5,942.58 and 3,052.92 is: 4,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,942.58 = 3,052.92 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,942.58 = 3,052.92/x
  3. Step 3: Cross multiply
    3,966.84x = 5,942.58 × 3,052.92
  4. Step 4: Simplify right side
    3,966.84x = 18,142,221.33
  5. Step 5: Solve for x
    x = 18,142,221.33/3,966.84
  6. Step 6: Final answer
    x = 4,573.47

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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.