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Finding the Fourth Proportional to 5,957.98, 8,939.32 and 2,261.19

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Solution

The fourth proportional to 5,957.98, 8,939.32 and 2,261.19 is: 3,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.98 : 8,939.32 = 2,261.19 : x
  2. Step 2: Convert to fraction form
    5,957.98/8,939.32 = 2,261.19/x
  3. Step 3: Cross multiply
    5,957.98x = 8,939.32 × 2,261.19
  4. Step 4: Simplify right side
    5,957.98x = 20,213,519.62
  5. Step 5: Solve for x
    x = 20,213,519.62/5,957.98
  6. Step 6: Final answer
    x = 3,392.68

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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.