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Finding the Fourth Proportional to 3,674.59, 5,072.38 and 2,556.17

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Solution

The fourth proportional to 3,674.59, 5,072.38 and 2,556.17 is: 3,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.59 : 5,072.38 = 2,556.17 : x
  2. Step 2: Convert to fraction form
    3,674.59/5,072.38 = 2,556.17/x
  3. Step 3: Cross multiply
    3,674.59x = 5,072.38 × 2,556.17
  4. Step 4: Simplify right side
    3,674.59x = 12,965,865.58
  5. Step 5: Solve for x
    x = 12,965,865.58/3,674.59
  6. Step 6: Final answer
    x = 3,528.53

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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.