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Finding the Fourth Proportional to 3,829.77, 5,744.48 and 1,056.42

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Solution

The fourth proportional to 3,829.77, 5,744.48 and 1,056.42 is: 1,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.77 : 5,744.48 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    3,829.77/5,744.48 = 1,056.42/x
  3. Step 3: Cross multiply
    3,829.77x = 5,744.48 × 1,056.42
  4. Step 4: Simplify right side
    3,829.77x = 6,068,578.28
  5. Step 5: Solve for x
    x = 6,068,578.28/3,829.77
  6. Step 6: Final answer
    x = 1,584.58

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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.