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Finding the Fourth Proportional to 5,381.69, 8,072.51 and 1,683.59

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Solution

The fourth proportional to 5,381.69, 8,072.51 and 1,683.59 is: 2,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.69 : 8,072.51 = 1,683.59 : x
  2. Step 2: Convert to fraction form
    5,381.69/8,072.51 = 1,683.59/x
  3. Step 3: Cross multiply
    5,381.69x = 8,072.51 × 1,683.59
  4. Step 4: Simplify right side
    5,381.69x = 13,590,748.33
  5. Step 5: Solve for x
    x = 13,590,748.33/5,381.69
  6. Step 6: Final answer
    x = 2,525.37

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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.