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Finding the Fourth Proportional to 7,522.44, 11,284.44 and 2,591.48

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Solution

The fourth proportional to 7,522.44, 11,284.44 and 2,591.48 is: 3,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.44 : 11,284.44 = 2,591.48 : x
  2. Step 2: Convert to fraction form
    7,522.44/11,284.44 = 2,591.48/x
  3. Step 3: Cross multiply
    7,522.44x = 11,284.44 × 2,591.48
  4. Step 4: Simplify right side
    7,522.44x = 29,243,400.57
  5. Step 5: Solve for x
    x = 29,243,400.57/7,522.44
  6. Step 6: Final answer
    x = 3,887.49

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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.