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Finding the Fourth Proportional to 3,439.97, 5,174.08 and 3,141.08

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Solution

The fourth proportional to 3,439.97, 5,174.08 and 3,141.08 is: 4,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.97 : 5,174.08 = 3,141.08 : x
  2. Step 2: Convert to fraction form
    3,439.97/5,174.08 = 3,141.08/x
  3. Step 3: Cross multiply
    3,439.97x = 5,174.08 × 3,141.08
  4. Step 4: Simplify right side
    3,439.97x = 16,252,184.89
  5. Step 5: Solve for x
    x = 16,252,184.89/3,439.97
  6. Step 6: Final answer
    x = 4,724.52

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1.5x scale

Why These Related Problems?

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