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Finding the Fourth Proportional to 3,517, 5,274.78 and 1,784.68

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Solution

The fourth proportional to 3,517, 5,274.78 and 1,784.68 is: 2,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517 : 5,274.78 = 1,784.68 : x
  2. Step 2: Convert to fraction form
    3,517/5,274.78 = 1,784.68/x
  3. Step 3: Cross multiply
    3,517x = 5,274.78 × 1,784.68
  4. Step 4: Simplify right side
    3,517x = 9,413,794.37
  5. Step 5: Solve for x
    x = 9,413,794.37/3,517
  6. Step 6: Final answer
    x = 2,676.65

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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.