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Finding the Fourth Proportional to 3,415.55, 5,122.74 and 950.62

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Solution

The fourth proportional to 3,415.55, 5,122.74 and 950.62 is: 1,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.55 : 5,122.74 = 950.62 : x
  2. Step 2: Convert to fraction form
    3,415.55/5,122.74 = 950.62/x
  3. Step 3: Cross multiply
    3,415.55x = 5,122.74 × 950.62
  4. Step 4: Simplify right side
    3,415.55x = 4,869,766.29
  5. Step 5: Solve for x
    x = 4,869,766.29/3,415.55
  6. Step 6: Final answer
    x = 1,425.77

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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.