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Finding the Fourth Proportional to 3,926.82, 5,890.02 and 1,004.94

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Solution

The fourth proportional to 3,926.82, 5,890.02 and 1,004.94 is: 1,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.82 : 5,890.02 = 1,004.94 : x
  2. Step 2: Convert to fraction form
    3,926.82/5,890.02 = 1,004.94/x
  3. Step 3: Cross multiply
    3,926.82x = 5,890.02 × 1,004.94
  4. Step 4: Simplify right side
    3,926.82x = 5,919,116.70
  5. Step 5: Solve for x
    x = 5,919,116.70/3,926.82
  6. Step 6: Final answer
    x = 1,507.36

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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.