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Finding the Fourth Proportional to 4,754.37, 7,134.62 and 2,564.62

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Solution

The fourth proportional to 4,754.37, 7,134.62 and 2,564.62 is: 3,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.37 : 7,134.62 = 2,564.62 : x
  2. Step 2: Convert to fraction form
    4,754.37/7,134.62 = 2,564.62/x
  3. Step 3: Cross multiply
    4,754.37x = 7,134.62 × 2,564.62
  4. Step 4: Simplify right side
    4,754.37x = 18,297,589.14
  5. Step 5: Solve for x
    x = 18,297,589.14/4,754.37
  6. Step 6: Final answer
    x = 3,848.58

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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.