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Finding the Fourth Proportional to 5,932.88, 8,889.09 and 3,930.32

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Solution

The fourth proportional to 5,932.88, 8,889.09 and 3,930.32 is: 5,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.88 : 8,889.09 = 3,930.32 : x
  2. Step 2: Convert to fraction form
    5,932.88/8,889.09 = 3,930.32/x
  3. Step 3: Cross multiply
    5,932.88x = 8,889.09 × 3,930.32
  4. Step 4: Simplify right side
    5,932.88x = 34,936,957.24
  5. Step 5: Solve for x
    x = 34,936,957.24/5,932.88
  6. Step 6: Final answer
    x = 5,888.70

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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.