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Finding the Fourth Proportional to 5,381.94, 8,073.75 and 1,683.42

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Solution

The fourth proportional to 5,381.94, 8,073.75 and 1,683.42 is: 2,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.94 : 8,073.75 = 1,683.42 : x
  2. Step 2: Convert to fraction form
    5,381.94/8,073.75 = 1,683.42/x
  3. Step 3: Cross multiply
    5,381.94x = 8,073.75 × 1,683.42
  4. Step 4: Simplify right side
    5,381.94x = 13,591,512.23
  5. Step 5: Solve for x
    x = 13,591,512.23/5,381.94
  6. Step 6: Final answer
    x = 2,525.39

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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.