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Finding the Fourth Proportional to 5,497.62, 8,241.50 and 1,986.81

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Solution

The fourth proportional to 5,497.62, 8,241.50 and 1,986.81 is: 2,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.62 : 8,241.50 = 1,986.81 : x
  2. Step 2: Convert to fraction form
    5,497.62/8,241.50 = 1,986.81/x
  3. Step 3: Cross multiply
    5,497.62x = 8,241.50 × 1,986.81
  4. Step 4: Simplify right side
    5,497.62x = 16,374,253.41
  5. Step 5: Solve for x
    x = 16,374,253.41/5,497.62
  6. Step 6: Final answer
    x = 2,978.43

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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.