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Finding the Fourth Proportional to 6,481.65, 8,958.48 and 5,713.77

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Solution

The fourth proportional to 6,481.65, 8,958.48 and 5,713.77 is: 7,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.65 : 8,958.48 = 5,713.77 : x
  2. Step 2: Convert to fraction form
    6,481.65/8,958.48 = 5,713.77/x
  3. Step 3: Cross multiply
    6,481.65x = 8,958.48 × 5,713.77
  4. Step 4: Simplify right side
    6,481.65x = 51,186,694.27
  5. Step 5: Solve for x
    x = 51,186,694.27/6,481.65
  6. Step 6: Final answer
    x = 7,897.17

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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.