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Finding the Fourth Proportional to 3,449.70, 5,145.86 and 3,117.54

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Solution

The fourth proportional to 3,449.70, 5,145.86 and 3,117.54 is: 4,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.70 : 5,145.86 = 3,117.54 : x
  2. Step 2: Convert to fraction form
    3,449.70/5,145.86 = 3,117.54/x
  3. Step 3: Cross multiply
    3,449.70x = 5,145.86 × 3,117.54
  4. Step 4: Simplify right side
    3,449.70x = 16,042,408.80
  5. Step 5: Solve for x
    x = 16,042,408.80/3,449.70
  6. Step 6: Final answer
    x = 4,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.