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Finding the Fourth Proportional to 3,494.45, 5,242.46 and 1,029.29

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Solution

The fourth proportional to 3,494.45, 5,242.46 and 1,029.29 is: 1,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.45 : 5,242.46 = 1,029.29 : x
  2. Step 2: Convert to fraction form
    3,494.45/5,242.46 = 1,029.29/x
  3. Step 3: Cross multiply
    3,494.45x = 5,242.46 × 1,029.29
  4. Step 4: Simplify right side
    3,494.45x = 5,396,011.65
  5. Step 5: Solve for x
    x = 5,396,011.65/3,494.45
  6. Step 6: Final answer
    x = 1,544.17

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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.