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Finding the Fourth Proportional to 5,752.28, 7,938.23 and 3,234.25

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Solution

The fourth proportional to 5,752.28, 7,938.23 and 3,234.25 is: 4,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.28 : 7,938.23 = 3,234.25 : x
  2. Step 2: Convert to fraction form
    5,752.28/7,938.23 = 3,234.25/x
  3. Step 3: Cross multiply
    5,752.28x = 7,938.23 × 3,234.25
  4. Step 4: Simplify right side
    5,752.28x = 25,674,220.38
  5. Step 5: Solve for x
    x = 25,674,220.38/5,752.28
  6. Step 6: Final answer
    x = 4,463.31

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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.