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Finding the Fourth Proportional to 5,744.64, 7,927.60 and 3,226.83

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Solution

The fourth proportional to 5,744.64, 7,927.60 and 3,226.83 is: 4,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.64 : 7,927.60 = 3,226.83 : x
  2. Step 2: Convert to fraction form
    5,744.64/7,927.60 = 3,226.83/x
  3. Step 3: Cross multiply
    5,744.64x = 7,927.60 × 3,226.83
  4. Step 4: Simplify right side
    5,744.64x = 25,581,017.51
  5. Step 5: Solve for x
    x = 25,581,017.51/5,744.64
  6. Step 6: Final answer
    x = 4,453.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.