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Finding the Fourth Proportional to 4,549.82, 6,824.43 and 1,775.97

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Solution

The fourth proportional to 4,549.82, 6,824.43 and 1,775.97 is: 2,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.82 : 6,824.43 = 1,775.97 : x
  2. Step 2: Convert to fraction form
    4,549.82/6,824.43 = 1,775.97/x
  3. Step 3: Cross multiply
    4,549.82x = 6,824.43 × 1,775.97
  4. Step 4: Simplify right side
    4,549.82x = 12,119,982.95
  5. Step 5: Solve for x
    x = 12,119,982.95/4,549.82
  6. Step 6: Final answer
    x = 2,663.84

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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.