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Finding the Fourth Proportional to 7,575.64, 11,363.20 and 3,679

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Solution

The fourth proportional to 7,575.64, 11,363.20 and 3,679 is: 5,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.64 : 11,363.20 = 3,679 : x
  2. Step 2: Convert to fraction form
    7,575.64/11,363.20 = 3,679/x
  3. Step 3: Cross multiply
    7,575.64x = 11,363.20 × 3,679
  4. Step 4: Simplify right side
    7,575.64x = 41,805,212.80
  5. Step 5: Solve for x
    x = 41,805,212.80/7,575.64
  6. Step 6: Final answer
    x = 5,518.37

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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.