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Finding the Fourth Proportional to 5,282.88, 7,912.97 and 3,428.58

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Solution

The fourth proportional to 5,282.88, 7,912.97 and 3,428.58 is: 5,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.88 : 7,912.97 = 3,428.58 : x
  2. Step 2: Convert to fraction form
    5,282.88/7,912.97 = 3,428.58/x
  3. Step 3: Cross multiply
    5,282.88x = 7,912.97 × 3,428.58
  4. Step 4: Simplify right side
    5,282.88x = 27,130,250.68
  5. Step 5: Solve for x
    x = 27,130,250.68/5,282.88
  6. Step 6: Final answer
    x = 5,135.50

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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.