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Finding the Fourth Proportional to 3,678.49, 5,071.44 and 3,046.69

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Solution

The fourth proportional to 3,678.49, 5,071.44 and 3,046.69 is: 4,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.49 : 5,071.44 = 3,046.69 : x
  2. Step 2: Convert to fraction form
    3,678.49/5,071.44 = 3,046.69/x
  3. Step 3: Cross multiply
    3,678.49x = 5,071.44 × 3,046.69
  4. Step 4: Simplify right side
    3,678.49x = 15,451,105.53
  5. Step 5: Solve for x
    x = 15,451,105.53/3,678.49
  6. Step 6: Final answer
    x = 4,200.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.