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Finding the Fourth Proportional to 5,890.46, 8,830.89 and 3,257.86

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Solution

The fourth proportional to 5,890.46, 8,830.89 and 3,257.86 is: 4,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.46 : 8,830.89 = 3,257.86 : x
  2. Step 2: Convert to fraction form
    5,890.46/8,830.89 = 3,257.86/x
  3. Step 3: Cross multiply
    5,890.46x = 8,830.89 × 3,257.86
  4. Step 4: Simplify right side
    5,890.46x = 28,769,781.22
  5. Step 5: Solve for x
    x = 28,769,781.22/5,890.46
  6. Step 6: Final answer
    x = 4,884.13

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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.