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Finding the Fourth Proportional to 6,255.75, 8,633.00 and 3,461.31

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Solution

The fourth proportional to 6,255.75, 8,633.00 and 3,461.31 is: 4,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.75 : 8,633.00 = 3,461.31 : x
  2. Step 2: Convert to fraction form
    6,255.75/8,633.00 = 3,461.31/x
  3. Step 3: Cross multiply
    6,255.75x = 8,633.00 × 3,461.31
  4. Step 4: Simplify right side
    6,255.75x = 29,881,471.92
  5. Step 5: Solve for x
    x = 29,881,471.92/6,255.75
  6. Step 6: Final answer
    x = 4,776.64

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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.