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Finding the Fourth Proportional to 5,984.54, 8,964.45 and 3,511.92

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Solution

The fourth proportional to 5,984.54, 8,964.45 and 3,511.92 is: 5,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.54 : 8,964.45 = 3,511.92 : x
  2. Step 2: Convert to fraction form
    5,984.54/8,964.45 = 3,511.92/x
  3. Step 3: Cross multiply
    5,984.54x = 8,964.45 × 3,511.92
  4. Step 4: Simplify right side
    5,984.54x = 31,482,431.24
  5. Step 5: Solve for x
    x = 31,482,431.24/5,984.54
  6. Step 6: Final answer
    x = 5,260.63

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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.