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Finding the Fourth Proportional to 5,767.56, 7,958.80 and 3,409.24

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Solution

The fourth proportional to 5,767.56, 7,958.80 and 3,409.24 is: 4,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.56 : 7,958.80 = 3,409.24 : x
  2. Step 2: Convert to fraction form
    5,767.56/7,958.80 = 3,409.24/x
  3. Step 3: Cross multiply
    5,767.56x = 7,958.80 × 3,409.24
  4. Step 4: Simplify right side
    5,767.56x = 27,133,459.31
  5. Step 5: Solve for x
    x = 27,133,459.31/5,767.56
  6. Step 6: Final answer
    x = 4,704.50

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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.