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Finding the Fourth Proportional to 5,972.84, 8,958.04 and 3,342.97

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Solution

The fourth proportional to 5,972.84, 8,958.04 and 3,342.97 is: 5,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.84 : 8,958.04 = 3,342.97 : x
  2. Step 2: Convert to fraction form
    5,972.84/8,958.04 = 3,342.97/x
  3. Step 3: Cross multiply
    5,972.84x = 8,958.04 × 3,342.97
  4. Step 4: Simplify right side
    5,972.84x = 29,946,397.47
  5. Step 5: Solve for x
    x = 29,946,397.47/5,972.84
  6. Step 6: Final answer
    x = 5,013.77

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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.