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Finding the Fourth Proportional to 5,486.57, 8,219.49 and 2,710

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Solution

The fourth proportional to 5,486.57, 8,219.49 and 2,710 is: 4,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.57 : 8,219.49 = 2,710 : x
  2. Step 2: Convert to fraction form
    5,486.57/8,219.49 = 2,710/x
  3. Step 3: Cross multiply
    5,486.57x = 8,219.49 × 2,710
  4. Step 4: Simplify right side
    5,486.57x = 22,274,817.90
  5. Step 5: Solve for x
    x = 22,274,817.90/5,486.57
  6. Step 6: Final answer
    x = 4,059.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.