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Finding the Fourth Proportional to 3,829.87, 5,743.44 and 1,330.41

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Solution

The fourth proportional to 3,829.87, 5,743.44 and 1,330.41 is: 1,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.87 : 5,743.44 = 1,330.41 : x
  2. Step 2: Convert to fraction form
    3,829.87/5,743.44 = 1,330.41/x
  3. Step 3: Cross multiply
    3,829.87x = 5,743.44 × 1,330.41
  4. Step 4: Simplify right side
    3,829.87x = 7,641,130.01
  5. Step 5: Solve for x
    x = 7,641,130.01/3,829.87
  6. Step 6: Final answer
    x = 1,995.14

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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.