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Finding the Fourth Proportional to 5,381.60, 8,073.29 and 1,683.09

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Solution

The fourth proportional to 5,381.60, 8,073.29 and 1,683.09 is: 2,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.60 : 8,073.29 = 1,683.09 : x
  2. Step 2: Convert to fraction form
    5,381.60/8,073.29 = 1,683.09/x
  3. Step 3: Cross multiply
    5,381.60x = 8,073.29 × 1,683.09
  4. Step 4: Simplify right side
    5,381.60x = 13,588,077.87
  5. Step 5: Solve for x
    x = 13,588,077.87/5,381.60
  6. Step 6: Final answer
    x = 2,524.92

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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.