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Finding the Fourth Proportional to 6,355.82, 8,771.02 and 3,871.82

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Solution

The fourth proportional to 6,355.82, 8,771.02 and 3,871.82 is: 5,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.82 : 8,771.02 = 3,871.82 : x
  2. Step 2: Convert to fraction form
    6,355.82/8,771.02 = 3,871.82/x
  3. Step 3: Cross multiply
    6,355.82x = 8,771.02 × 3,871.82
  4. Step 4: Simplify right side
    6,355.82x = 33,959,810.66
  5. Step 5: Solve for x
    x = 33,959,810.66/6,355.82
  6. Step 6: Final answer
    x = 5,343.10

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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.