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Finding the Fourth Proportional to 3,838.60, 5,747.10 and 3,449.80

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Solution

The fourth proportional to 3,838.60, 5,747.10 and 3,449.80 is: 5,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.60 : 5,747.10 = 3,449.80 : x
  2. Step 2: Convert to fraction form
    3,838.60/5,747.10 = 3,449.80/x
  3. Step 3: Cross multiply
    3,838.60x = 5,747.10 × 3,449.80
  4. Step 4: Simplify right side
    3,838.60x = 19,826,345.58
  5. Step 5: Solve for x
    x = 19,826,345.58/3,838.60
  6. Step 6: Final answer
    x = 5,164.99

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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.