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Finding the Fourth Proportional to 6,107.82, 8,428.78 and 3,313.32

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Solution

The fourth proportional to 6,107.82, 8,428.78 and 3,313.32 is: 4,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.82 : 8,428.78 = 3,313.32 : x
  2. Step 2: Convert to fraction form
    6,107.82/8,428.78 = 3,313.32/x
  3. Step 3: Cross multiply
    6,107.82x = 8,428.78 × 3,313.32
  4. Step 4: Simplify right side
    6,107.82x = 27,927,245.35
  5. Step 5: Solve for x
    x = 27,927,245.35/6,107.82
  6. Step 6: Final answer
    x = 4,572.38

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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.