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Finding the Fourth Proportional to 3,468.65, 5,201.15 and 1,494.27

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Solution

The fourth proportional to 3,468.65, 5,201.15 and 1,494.27 is: 2,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.65 : 5,201.15 = 1,494.27 : x
  2. Step 2: Convert to fraction form
    3,468.65/5,201.15 = 1,494.27/x
  3. Step 3: Cross multiply
    3,468.65x = 5,201.15 × 1,494.27
  4. Step 4: Simplify right side
    3,468.65x = 7,771,914.94
  5. Step 5: Solve for x
    x = 7,771,914.94/3,468.65
  6. Step 6: Final answer
    x = 2,240.62

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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.