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Finding the Fourth Proportional to 3,829.69, 5,744.53 and 1,232.63

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Solution

The fourth proportional to 3,829.69, 5,744.53 and 1,232.63 is: 1,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.69 : 5,744.53 = 1,232.63 : x
  2. Step 2: Convert to fraction form
    3,829.69/5,744.53 = 1,232.63/x
  3. Step 3: Cross multiply
    3,829.69x = 5,744.53 × 1,232.63
  4. Step 4: Simplify right side
    3,829.69x = 7,080,880.01
  5. Step 5: Solve for x
    x = 7,080,880.01/3,829.69
  6. Step 6: Final answer
    x = 1,848.94

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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.