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Finding the Fourth Proportional to 4,754.38, 7,134.63 and 2,564.62

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Solution

The fourth proportional to 4,754.38, 7,134.63 and 2,564.62 is: 3,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.38 : 7,134.63 = 2,564.62 : x
  2. Step 2: Convert to fraction form
    4,754.38/7,134.63 = 2,564.62/x
  3. Step 3: Cross multiply
    4,754.38x = 7,134.63 × 2,564.62
  4. Step 4: Simplify right side
    4,754.38x = 18,297,614.79
  5. Step 5: Solve for x
    x = 18,297,614.79/4,754.38
  6. Step 6: Final answer
    x = 3,848.58

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