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Finding the Fourth Proportional to 5,487.10, 8,230.65 and 3,294.70

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Solution

The fourth proportional to 5,487.10, 8,230.65 and 3,294.70 is: 4,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.10 : 8,230.65 = 3,294.70 : x
  2. Step 2: Convert to fraction form
    5,487.10/8,230.65 = 3,294.70/x
  3. Step 3: Cross multiply
    5,487.10x = 8,230.65 × 3,294.70
  4. Step 4: Simplify right side
    5,487.10x = 27,117,522.56
  5. Step 5: Solve for x
    x = 27,117,522.56/5,487.10
  6. Step 6: Final answer
    x = 4,942.05

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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.