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Finding the Fourth Proportional to 5,171.70, 7,757.94 and 4,562.58

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Solution

The fourth proportional to 5,171.70, 7,757.94 and 4,562.58 is: 6,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.70 : 7,757.94 = 4,562.58 : x
  2. Step 2: Convert to fraction form
    5,171.70/7,757.94 = 4,562.58/x
  3. Step 3: Cross multiply
    5,171.70x = 7,757.94 × 4,562.58
  4. Step 4: Simplify right side
    5,171.70x = 35,396,221.89
  5. Step 5: Solve for x
    x = 35,396,221.89/5,171.70
  6. Step 6: Final answer
    x = 6,844.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.