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Finding the Fourth Proportional to 5,957.33, 8,216.49 and 3,964.43

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Solution

The fourth proportional to 5,957.33, 8,216.49 and 3,964.43 is: 5,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.33 : 8,216.49 = 3,964.43 : x
  2. Step 2: Convert to fraction form
    5,957.33/8,216.49 = 3,964.43/x
  3. Step 3: Cross multiply
    5,957.33x = 8,216.49 × 3,964.43
  4. Step 4: Simplify right side
    5,957.33x = 32,573,719.99
  5. Step 5: Solve for x
    x = 32,573,719.99/5,957.33
  6. Step 6: Final answer
    x = 5,467.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.