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Finding the Fourth Proportional to 3,904.66, 5,843.31 and 3,202.66

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Solution

The fourth proportional to 3,904.66, 5,843.31 and 3,202.66 is: 4,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.66 : 5,843.31 = 3,202.66 : x
  2. Step 2: Convert to fraction form
    3,904.66/5,843.31 = 3,202.66/x
  3. Step 3: Cross multiply
    3,904.66x = 5,843.31 × 3,202.66
  4. Step 4: Simplify right side
    3,904.66x = 18,714,135.20
  5. Step 5: Solve for x
    x = 18,714,135.20/3,904.66
  6. Step 6: Final answer
    x = 4,792.77

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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.