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Finding the Fourth Proportional to 3,775.78, 5,662.72 and 1,694.62

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Solution

The fourth proportional to 3,775.78, 5,662.72 and 1,694.62 is: 2,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.78 : 5,662.72 = 1,694.62 : x
  2. Step 2: Convert to fraction form
    3,775.78/5,662.72 = 1,694.62/x
  3. Step 3: Cross multiply
    3,775.78x = 5,662.72 × 1,694.62
  4. Step 4: Simplify right side
    3,775.78x = 9,596,158.57
  5. Step 5: Solve for x
    x = 9,596,158.57/3,775.78
  6. Step 6: Final answer
    x = 2,541.50

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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.