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Finding the Fourth Proportional to 5,172.42, 7,136.18 and 3,405.82

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Solution

The fourth proportional to 5,172.42, 7,136.18 and 3,405.82 is: 4,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.42 : 7,136.18 = 3,405.82 : x
  2. Step 2: Convert to fraction form
    5,172.42/7,136.18 = 3,405.82/x
  3. Step 3: Cross multiply
    5,172.42x = 7,136.18 × 3,405.82
  4. Step 4: Simplify right side
    5,172.42x = 24,304,544.57
  5. Step 5: Solve for x
    x = 24,304,544.57/5,172.42
  6. Step 6: Final answer
    x = 4,698.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.