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Finding the Fourth Proportional to 5,125.44, 7,682.07 and 2,349.78

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Solution

The fourth proportional to 5,125.44, 7,682.07 and 2,349.78 is: 3,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.44 : 7,682.07 = 2,349.78 : x
  2. Step 2: Convert to fraction form
    5,125.44/7,682.07 = 2,349.78/x
  3. Step 3: Cross multiply
    5,125.44x = 7,682.07 × 2,349.78
  4. Step 4: Simplify right side
    5,125.44x = 18,051,174.44
  5. Step 5: Solve for x
    x = 18,051,174.44/5,125.44
  6. Step 6: Final answer
    x = 3,521.88

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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.