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Finding the Fourth Proportional to 6,186.48, 8,539.01 and 3,827.31

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Solution

The fourth proportional to 6,186.48, 8,539.01 and 3,827.31 is: 5,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.48 : 8,539.01 = 3,827.31 : x
  2. Step 2: Convert to fraction form
    6,186.48/8,539.01 = 3,827.31/x
  3. Step 3: Cross multiply
    6,186.48x = 8,539.01 × 3,827.31
  4. Step 4: Simplify right side
    6,186.48x = 32,681,438.36
  5. Step 5: Solve for x
    x = 32,681,438.36/6,186.48
  6. Step 6: Final answer
    x = 5,282.72

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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.