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Finding the Fourth Proportional to 5,782.68, 8,671.71 and 2,083.59

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Solution

The fourth proportional to 5,782.68, 8,671.71 and 2,083.59 is: 3,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.68 : 8,671.71 = 2,083.59 : x
  2. Step 2: Convert to fraction form
    5,782.68/8,671.71 = 2,083.59/x
  3. Step 3: Cross multiply
    5,782.68x = 8,671.71 × 2,083.59
  4. Step 4: Simplify right side
    5,782.68x = 18,068,288.24
  5. Step 5: Solve for x
    x = 18,068,288.24/5,782.68
  6. Step 6: Final answer
    x = 3,124.55

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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.