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Finding the Fourth Proportional to 5,767.20, 7,958.16 and 3,409.20

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Solution

The fourth proportional to 5,767.20, 7,958.16 and 3,409.20 is: 4,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.20 : 7,958.16 = 3,409.20 : x
  2. Step 2: Convert to fraction form
    5,767.20/7,958.16 = 3,409.20/x
  3. Step 3: Cross multiply
    5,767.20x = 7,958.16 × 3,409.20
  4. Step 4: Simplify right side
    5,767.20x = 27,130,959.07
  5. Step 5: Solve for x
    x = 27,130,959.07/5,767.20
  6. Step 6: Final answer
    x = 4,704.36

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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.