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Finding the Fourth Proportional to 5,782.67, 8,671.71 and 2,083.61

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Solution

The fourth proportional to 5,782.67, 8,671.71 and 2,083.61 is: 3,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.67 : 8,671.71 = 2,083.61 : x
  2. Step 2: Convert to fraction form
    5,782.67/8,671.71 = 2,083.61/x
  3. Step 3: Cross multiply
    5,782.67x = 8,671.71 × 2,083.61
  4. Step 4: Simplify right side
    5,782.67x = 18,068,418.31
  5. Step 5: Solve for x
    x = 18,068,418.31/5,782.67
  6. Step 6: Final answer
    x = 3,124.58

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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.