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Finding the Fourth Proportional to 4,179.78, 5,760.04 and 3,431.34

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Solution

The fourth proportional to 4,179.78, 5,760.04 and 3,431.34 is: 4,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.78 : 5,760.04 = 3,431.34 : x
  2. Step 2: Convert to fraction form
    4,179.78/5,760.04 = 3,431.34/x
  3. Step 3: Cross multiply
    4,179.78x = 5,760.04 × 3,431.34
  4. Step 4: Simplify right side
    4,179.78x = 19,764,655.65
  5. Step 5: Solve for x
    x = 19,764,655.65/4,179.78
  6. Step 6: Final answer
    x = 4,728.64

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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.