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Finding the Fourth Proportional to 3,958.16, 5,929.96 and 2,011.76

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Solution

The fourth proportional to 3,958.16, 5,929.96 and 2,011.76 is: 3,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.16 : 5,929.96 = 2,011.76 : x
  2. Step 2: Convert to fraction form
    3,958.16/5,929.96 = 2,011.76/x
  3. Step 3: Cross multiply
    3,958.16x = 5,929.96 × 2,011.76
  4. Step 4: Simplify right side
    3,958.16x = 11,929,656.33
  5. Step 5: Solve for x
    x = 11,929,656.33/3,958.16
  6. Step 6: Final answer
    x = 3,013.94

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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.