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Finding the Fourth Proportional to 3,951.32, 5,929.05 and 2,564.33

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Solution

The fourth proportional to 3,951.32, 5,929.05 and 2,564.33 is: 3,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.32 : 5,929.05 = 2,564.33 : x
  2. Step 2: Convert to fraction form
    3,951.32/5,929.05 = 2,564.33/x
  3. Step 3: Cross multiply
    3,951.32x = 5,929.05 × 2,564.33
  4. Step 4: Simplify right side
    3,951.32x = 15,204,040.79
  5. Step 5: Solve for x
    x = 15,204,040.79/3,951.32
  6. Step 6: Final answer
    x = 3,847.84

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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.