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Finding the Fourth Proportional to 3,829.74, 5,744.64 and 1,056.56

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Solution

The fourth proportional to 3,829.74, 5,744.64 and 1,056.56 is: 1,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.74 : 5,744.64 = 1,056.56 : x
  2. Step 2: Convert to fraction form
    3,829.74/5,744.64 = 1,056.56/x
  3. Step 3: Cross multiply
    3,829.74x = 5,744.64 × 1,056.56
  4. Step 4: Simplify right side
    3,829.74x = 6,069,571.20
  5. Step 5: Solve for x
    x = 6,069,571.20/3,829.74
  6. Step 6: Final answer
    x = 1,584.85

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