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Finding the Fourth Proportional to 6,456.76, 8,910.32 and 3,662.26

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Solution

The fourth proportional to 6,456.76, 8,910.32 and 3,662.26 is: 5,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.76 : 8,910.32 = 3,662.26 : x
  2. Step 2: Convert to fraction form
    6,456.76/8,910.32 = 3,662.26/x
  3. Step 3: Cross multiply
    6,456.76x = 8,910.32 × 3,662.26
  4. Step 4: Simplify right side
    6,456.76x = 32,631,908.52
  5. Step 5: Solve for x
    x = 32,631,908.52/6,456.76
  6. Step 6: Final answer
    x = 5,053.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.