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Finding the Fourth Proportional to 3,562.57, 5,342.50 and 1,424.79

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Solution

The fourth proportional to 3,562.57, 5,342.50 and 1,424.79 is: 2,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.57 : 5,342.50 = 1,424.79 : x
  2. Step 2: Convert to fraction form
    3,562.57/5,342.50 = 1,424.79/x
  3. Step 3: Cross multiply
    3,562.57x = 5,342.50 × 1,424.79
  4. Step 4: Simplify right side
    3,562.57x = 7,611,940.58
  5. Step 5: Solve for x
    x = 7,611,940.58/3,562.57
  6. Step 6: Final answer
    x = 2,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.