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Finding the Fourth Proportional to 3,929.44, 5,894.34 and 3,740.29

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Solution

The fourth proportional to 3,929.44, 5,894.34 and 3,740.29 is: 5,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.44 : 5,894.34 = 3,740.29 : x
  2. Step 2: Convert to fraction form
    3,929.44/5,894.34 = 3,740.29/x
  3. Step 3: Cross multiply
    3,929.44x = 5,894.34 × 3,740.29
  4. Step 4: Simplify right side
    3,929.44x = 22,046,540.96
  5. Step 5: Solve for x
    x = 22,046,540.96/3,929.44
  6. Step 6: Final answer
    x = 5,610.61

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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.