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Finding the Fourth Proportional to 5,732.78, 7,902.09 and 4,519.48

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Solution

The fourth proportional to 5,732.78, 7,902.09 and 4,519.48 is: 6,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.78 : 7,902.09 = 4,519.48 : x
  2. Step 2: Convert to fraction form
    5,732.78/7,902.09 = 4,519.48/x
  3. Step 3: Cross multiply
    5,732.78x = 7,902.09 × 4,519.48
  4. Step 4: Simplify right side
    5,732.78x = 35,713,337.71
  5. Step 5: Solve for x
    x = 35,713,337.71/5,732.78
  6. Step 6: Final answer
    x = 6,229.67

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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.