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Finding the Fourth Proportional to 5,381.40, 8,072.82 and 1,683.88

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Solution

The fourth proportional to 5,381.40, 8,072.82 and 1,683.88 is: 2,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.40 : 8,072.82 = 1,683.88 : x
  2. Step 2: Convert to fraction form
    5,381.40/8,072.82 = 1,683.88/x
  3. Step 3: Cross multiply
    5,381.40x = 8,072.82 × 1,683.88
  4. Step 4: Simplify right side
    5,381.40x = 13,593,660.14
  5. Step 5: Solve for x
    x = 13,593,660.14/5,381.40
  6. Step 6: Final answer
    x = 2,526.05

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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.