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Finding the Fourth Proportional to 5,752.96, 7,938.34 and 3,234.67

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Solution

The fourth proportional to 5,752.96, 7,938.34 and 3,234.67 is: 4,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.96 : 7,938.34 = 3,234.67 : x
  2. Step 2: Convert to fraction form
    5,752.96/7,938.34 = 3,234.67/x
  3. Step 3: Cross multiply
    5,752.96x = 7,938.34 × 3,234.67
  4. Step 4: Simplify right side
    5,752.96x = 25,677,882.32
  5. Step 5: Solve for x
    x = 25,677,882.32/5,752.96
  6. Step 6: Final answer
    x = 4,463.42

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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.