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Finding the Fourth Proportional to 3,785.82, 5,671.14 and 3,007.14

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Solution

The fourth proportional to 3,785.82, 5,671.14 and 3,007.14 is: 4,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.82 : 5,671.14 = 3,007.14 : x
  2. Step 2: Convert to fraction form
    3,785.82/5,671.14 = 3,007.14/x
  3. Step 3: Cross multiply
    3,785.82x = 5,671.14 × 3,007.14
  4. Step 4: Simplify right side
    3,785.82x = 17,053,911.94
  5. Step 5: Solve for x
    x = 17,053,911.94/3,785.82
  6. Step 6: Final answer
    x = 4,504.68

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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.