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Finding the Fourth Proportional to 5,204.68, 7,807.14 and 1,694.70

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Solution

The fourth proportional to 5,204.68, 7,807.14 and 1,694.70 is: 2,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.68 : 7,807.14 = 1,694.70 : x
  2. Step 2: Convert to fraction form
    5,204.68/7,807.14 = 1,694.70/x
  3. Step 3: Cross multiply
    5,204.68x = 7,807.14 × 1,694.70
  4. Step 4: Simplify right side
    5,204.68x = 13,230,760.16
  5. Step 5: Solve for x
    x = 13,230,760.16/5,204.68
  6. Step 6: Final answer
    x = 2,542.09

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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.