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Finding the Fourth Proportional to 5,958.17, 8,936.56 and 1,575.97

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Solution

The fourth proportional to 5,958.17, 8,936.56 and 1,575.97 is: 2,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.17 : 8,936.56 = 1,575.97 : x
  2. Step 2: Convert to fraction form
    5,958.17/8,936.56 = 1,575.97/x
  3. Step 3: Cross multiply
    5,958.17x = 8,936.56 × 1,575.97
  4. Step 4: Simplify right side
    5,958.17x = 14,083,730.09
  5. Step 5: Solve for x
    x = 14,083,730.09/5,958.17
  6. Step 6: Final answer
    x = 2,363.77

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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.