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Finding the Fourth Proportional to 5,451.77, 8,165.21 and 3,256.00

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Solution

The fourth proportional to 5,451.77, 8,165.21 and 3,256.00 is: 4,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.77 : 8,165.21 = 3,256.00 : x
  2. Step 2: Convert to fraction form
    5,451.77/8,165.21 = 3,256.00/x
  3. Step 3: Cross multiply
    5,451.77x = 8,165.21 × 3,256.00
  4. Step 4: Simplify right side
    5,451.77x = 26,585,887.07
  5. Step 5: Solve for x
    x = 26,585,887.07/5,451.77
  6. Step 6: Final answer
    x = 4,876.56

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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.