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Finding the Fourth Proportional to 5,371.96, 8,056.32 and 1,909

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Solution

The fourth proportional to 5,371.96, 8,056.32 and 1,909 is: 2,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.96 : 8,056.32 = 1,909 : x
  2. Step 2: Convert to fraction form
    5,371.96/8,056.32 = 1,909/x
  3. Step 3: Cross multiply
    5,371.96x = 8,056.32 × 1,909
  4. Step 4: Simplify right side
    5,371.96x = 15,379,514.88
  5. Step 5: Solve for x
    x = 15,379,514.88/5,371.96
  6. Step 6: Final answer
    x = 2,862.92

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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.