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Finding the Fourth Proportional to 6,366.82, 8,786.30 and 3,534.38

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Solution

The fourth proportional to 6,366.82, 8,786.30 and 3,534.38 is: 4,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.82 : 8,786.30 = 3,534.38 : x
  2. Step 2: Convert to fraction form
    6,366.82/8,786.30 = 3,534.38/x
  3. Step 3: Cross multiply
    6,366.82x = 8,786.30 × 3,534.38
  4. Step 4: Simplify right side
    6,366.82x = 31,054,061.39
  5. Step 5: Solve for x
    x = 31,054,061.39/6,366.82
  6. Step 6: Final answer
    x = 4,877.49

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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.