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Finding the Fourth Proportional to 5,683.50, 8,522.28 and 2,560.82

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Solution

The fourth proportional to 5,683.50, 8,522.28 and 2,560.82 is: 3,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.50 : 8,522.28 = 2,560.82 : x
  2. Step 2: Convert to fraction form
    5,683.50/8,522.28 = 2,560.82/x
  3. Step 3: Cross multiply
    5,683.50x = 8,522.28 × 2,560.82
  4. Step 4: Simplify right side
    5,683.50x = 21,823,982.46
  5. Step 5: Solve for x
    x = 21,823,982.46/5,683.50
  6. Step 6: Final answer
    x = 3,839.88

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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.