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Finding the Fourth Proportional to 5,381.71, 8,072.71 and 1,683.86

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Solution

The fourth proportional to 5,381.71, 8,072.71 and 1,683.86 is: 2,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.71 : 8,072.71 = 1,683.86 : x
  2. Step 2: Convert to fraction form
    5,381.71/8,072.71 = 1,683.86/x
  3. Step 3: Cross multiply
    5,381.71x = 8,072.71 × 1,683.86
  4. Step 4: Simplify right side
    5,381.71x = 13,593,268.89
  5. Step 5: Solve for x
    x = 13,593,268.89/5,381.71
  6. Step 6: Final answer
    x = 2,525.83

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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.