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Finding the Fourth Proportional to 3,767.70, 5,618.44 and 3,684

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Solution

The fourth proportional to 3,767.70, 5,618.44 and 3,684 is: 5,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.70 : 5,618.44 = 3,684 : x
  2. Step 2: Convert to fraction form
    3,767.70/5,618.44 = 3,684/x
  3. Step 3: Cross multiply
    3,767.70x = 5,618.44 × 3,684
  4. Step 4: Simplify right side
    3,767.70x = 20,698,332.96
  5. Step 5: Solve for x
    x = 20,698,332.96/3,767.70
  6. Step 6: Final answer
    x = 5,493.63

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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.