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Finding the Fourth Proportional to 3,415.23, 5,122.82 and 950.06

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Solution

The fourth proportional to 3,415.23, 5,122.82 and 950.06 is: 1,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.23 : 5,122.82 = 950.06 : x
  2. Step 2: Convert to fraction form
    3,415.23/5,122.82 = 950.06/x
  3. Step 3: Cross multiply
    3,415.23x = 5,122.82 × 950.06
  4. Step 4: Simplify right side
    3,415.23x = 4,867,001.55
  5. Step 5: Solve for x
    x = 4,867,001.55/3,415.23
  6. Step 6: Final answer
    x = 1,425.09

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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.