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Finding the Fourth Proportional to 5,688, 7,849.44 and 3,204

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Solution

The fourth proportional to 5,688, 7,849.44 and 3,204 is: 4,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 7,849.44 = 3,204 : x
  2. Step 2: Convert to fraction form
    5,688/7,849.44 = 3,204/x
  3. Step 3: Cross multiply
    5,688x = 7,849.44 × 3,204
  4. Step 4: Simplify right side
    5,688x = 25,149,605.76
  5. Step 5: Solve for x
    x = 25,149,605.76/5,688
  6. Step 6: Final answer
    x = 4,421.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.