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Finding the Fourth Proportional to 3,424.06, 5,136.41 and 958.88

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Solution

The fourth proportional to 3,424.06, 5,136.41 and 958.88 is: 1,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.06 : 5,136.41 = 958.88 : x
  2. Step 2: Convert to fraction form
    3,424.06/5,136.41 = 958.88/x
  3. Step 3: Cross multiply
    3,424.06x = 5,136.41 × 958.88
  4. Step 4: Simplify right side
    3,424.06x = 4,925,200.82
  5. Step 5: Solve for x
    x = 4,925,200.82/3,424.06
  6. Step 6: Final answer
    x = 1,438.41

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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.