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Finding the Fourth Proportional to 5,220.88, 7,829.44 and 1,522.37

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Solution

The fourth proportional to 5,220.88, 7,829.44 and 1,522.37 is: 2,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.88 : 7,829.44 = 1,522.37 : x
  2. Step 2: Convert to fraction form
    5,220.88/7,829.44 = 1,522.37/x
  3. Step 3: Cross multiply
    5,220.88x = 7,829.44 × 1,522.37
  4. Step 4: Simplify right side
    5,220.88x = 11,919,304.57
  5. Step 5: Solve for x
    x = 11,919,304.57/5,220.88
  6. Step 6: Final answer
    x = 2,283.01

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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.