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Finding the Fourth Proportional to 5,522.20, 8,283 and 1,361.99

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Solution

The fourth proportional to 5,522.20, 8,283 and 1,361.99 is: 2,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.20 : 8,283 = 1,361.99 : x
  2. Step 2: Convert to fraction form
    5,522.20/8,283 = 1,361.99/x
  3. Step 3: Cross multiply
    5,522.20x = 8,283 × 1,361.99
  4. Step 4: Simplify right side
    5,522.20x = 11,281,363.17
  5. Step 5: Solve for x
    x = 11,281,363.17/5,522.20
  6. Step 6: Final answer
    x = 2,042.91

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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.