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Finding the Fourth Proportional to 5,884.25, 8,817.86 and 3,281.72

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Solution

The fourth proportional to 5,884.25, 8,817.86 and 3,281.72 is: 4,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.25 : 8,817.86 = 3,281.72 : x
  2. Step 2: Convert to fraction form
    5,884.25/8,817.86 = 3,281.72/x
  3. Step 3: Cross multiply
    5,884.25x = 8,817.86 × 3,281.72
  4. Step 4: Simplify right side
    5,884.25x = 28,937,711.63
  5. Step 5: Solve for x
    x = 28,937,711.63/5,884.25
  6. Step 6: Final answer
    x = 4,917.83

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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.