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Finding the Fourth Proportional to 3,901.44, 5,850.24 and 1,435.52

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Solution

The fourth proportional to 3,901.44, 5,850.24 and 1,435.52 is: 2,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.44 : 5,850.24 = 1,435.52 : x
  2. Step 2: Convert to fraction form
    3,901.44/5,850.24 = 1,435.52/x
  3. Step 3: Cross multiply
    3,901.44x = 5,850.24 × 1,435.52
  4. Step 4: Simplify right side
    3,901.44x = 8,398,136.52
  5. Step 5: Solve for x
    x = 8,398,136.52/3,901.44
  6. Step 6: Final answer
    x = 2,152.57

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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.