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Finding the Fourth Proportional to 5,757, 7,910.23 and 4,576.02

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Solution

The fourth proportional to 5,757, 7,910.23 and 4,576.02 is: 6,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757 : 7,910.23 = 4,576.02 : x
  2. Step 2: Convert to fraction form
    5,757/7,910.23 = 4,576.02/x
  3. Step 3: Cross multiply
    5,757x = 7,910.23 × 4,576.02
  4. Step 4: Simplify right side
    5,757x = 36,197,370.68
  5. Step 5: Solve for x
    x = 36,197,370.68/5,757
  6. Step 6: Final answer
    x = 6,287.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.