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Finding the Fourth Proportional to 5,749.44, 8,616 and 2,824.80

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Solution

The fourth proportional to 5,749.44, 8,616 and 2,824.80 is: 4,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.44 : 8,616 = 2,824.80 : x
  2. Step 2: Convert to fraction form
    5,749.44/8,616 = 2,824.80/x
  3. Step 3: Cross multiply
    5,749.44x = 8,616 × 2,824.80
  4. Step 4: Simplify right side
    5,749.44x = 24,338,476.80
  5. Step 5: Solve for x
    x = 24,338,476.80/5,749.44
  6. Step 6: Final answer
    x = 4,233.19

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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.