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Finding the Fourth Proportional to 5,110.64, 7,662.76 and 3,886

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Solution

The fourth proportional to 5,110.64, 7,662.76 and 3,886 is: 5,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.64 : 7,662.76 = 3,886 : x
  2. Step 2: Convert to fraction form
    5,110.64/7,662.76 = 3,886/x
  3. Step 3: Cross multiply
    5,110.64x = 7,662.76 × 3,886
  4. Step 4: Simplify right side
    5,110.64x = 29,777,485.36
  5. Step 5: Solve for x
    x = 29,777,485.36/5,110.64
  6. Step 6: Final answer
    x = 5,826.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.