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Finding the Fourth Proportional to 5,589.41, 8,383.85 and 1,429.52

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Solution

The fourth proportional to 5,589.41, 8,383.85 and 1,429.52 is: 2,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.41 : 8,383.85 = 1,429.52 : x
  2. Step 2: Convert to fraction form
    5,589.41/8,383.85 = 1,429.52/x
  3. Step 3: Cross multiply
    5,589.41x = 8,383.85 × 1,429.52
  4. Step 4: Simplify right side
    5,589.41x = 11,984,874.10
  5. Step 5: Solve for x
    x = 11,984,874.10/5,589.41
  6. Step 6: Final answer
    x = 2,144.21

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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.