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Finding the Fourth Proportional to 5,752.48, 7,938.42 and 3,234.56

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Solution

The fourth proportional to 5,752.48, 7,938.42 and 3,234.56 is: 4,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.48 : 7,938.42 = 3,234.56 : x
  2. Step 2: Convert to fraction form
    5,752.48/7,938.42 = 3,234.56/x
  3. Step 3: Cross multiply
    5,752.48x = 7,938.42 × 3,234.56
  4. Step 4: Simplify right side
    5,752.48x = 25,677,295.80
  5. Step 5: Solve for x
    x = 25,677,295.80/5,752.48
  6. Step 6: Final answer
    x = 4,463.69

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1.5x scale

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.