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Finding the Fourth Proportional to 6,455.34, 8,891.42 and 4,960.41

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Solution

The fourth proportional to 6,455.34, 8,891.42 and 4,960.41 is: 6,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.34 : 8,891.42 = 4,960.41 : x
  2. Step 2: Convert to fraction form
    6,455.34/8,891.42 = 4,960.41/x
  3. Step 3: Cross multiply
    6,455.34x = 8,891.42 × 4,960.41
  4. Step 4: Simplify right side
    6,455.34x = 44,105,063.88
  5. Step 5: Solve for x
    x = 44,105,063.88/6,455.34
  6. Step 6: Final answer
    x = 6,832.34

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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.