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Finding the Fourth Proportional to 3,775.52, 5,664.82 and 1,694.12

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Solution

The fourth proportional to 3,775.52, 5,664.82 and 1,694.12 is: 2,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.52 : 5,664.82 = 1,694.12 : x
  2. Step 2: Convert to fraction form
    3,775.52/5,664.82 = 1,694.12/x
  3. Step 3: Cross multiply
    3,775.52x = 5,664.82 × 1,694.12
  4. Step 4: Simplify right side
    3,775.52x = 9,596,884.86
  5. Step 5: Solve for x
    x = 9,596,884.86/3,775.52
  6. Step 6: Final answer
    x = 2,541.87

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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.