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Finding the Fourth Proportional to 3,415.24, 5,122.36 and 949.81

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Solution

The fourth proportional to 3,415.24, 5,122.36 and 949.81 is: 1,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.24 : 5,122.36 = 949.81 : x
  2. Step 2: Convert to fraction form
    3,415.24/5,122.36 = 949.81/x
  3. Step 3: Cross multiply
    3,415.24x = 5,122.36 × 949.81
  4. Step 4: Simplify right side
    3,415.24x = 4,865,238.39
  5. Step 5: Solve for x
    x = 4,865,238.39/3,415.24
  6. Step 6: Final answer
    x = 1,424.57

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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.