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Finding the Fourth Proportional to 5,782.32, 8,672.49 and 2,083.86

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Solution

The fourth proportional to 5,782.32, 8,672.49 and 2,083.86 is: 3,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.32 : 8,672.49 = 2,083.86 : x
  2. Step 2: Convert to fraction form
    5,782.32/8,672.49 = 2,083.86/x
  3. Step 3: Cross multiply
    5,782.32x = 8,672.49 × 2,083.86
  4. Step 4: Simplify right side
    5,782.32x = 18,072,255.01
  5. Step 5: Solve for x
    x = 18,072,255.01/5,782.32
  6. Step 6: Final answer
    x = 3,125.43

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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.