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Finding the Fourth Proportional to 5,361, 8,045.82 and 2,764.68

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Solution

The fourth proportional to 5,361, 8,045.82 and 2,764.68 is: 4,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361 : 8,045.82 = 2,764.68 : x
  2. Step 2: Convert to fraction form
    5,361/8,045.82 = 2,764.68/x
  3. Step 3: Cross multiply
    5,361x = 8,045.82 × 2,764.68
  4. Step 4: Simplify right side
    5,361x = 22,244,117.64
  5. Step 5: Solve for x
    x = 22,244,117.64/5,361
  6. Step 6: Final answer
    x = 4,149.25

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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.