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Finding the Fourth Proportional to 5,638.62, 8,457.09 and 1,478.70

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Solution

The fourth proportional to 5,638.62, 8,457.09 and 1,478.70 is: 2,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.62 : 8,457.09 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    5,638.62/8,457.09 = 1,478.70/x
  3. Step 3: Cross multiply
    5,638.62x = 8,457.09 × 1,478.70
  4. Step 4: Simplify right side
    5,638.62x = 12,505,498.98
  5. Step 5: Solve for x
    x = 12,505,498.98/5,638.62
  6. Step 6: Final answer
    x = 2,217.83

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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.