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Finding the Fourth Proportional to 3,406.50, 5,109.75 and 1,355.94

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Solution

The fourth proportional to 3,406.50, 5,109.75 and 1,355.94 is: 2,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.50 : 5,109.75 = 1,355.94 : x
  2. Step 2: Convert to fraction form
    3,406.50/5,109.75 = 1,355.94/x
  3. Step 3: Cross multiply
    3,406.50x = 5,109.75 × 1,355.94
  4. Step 4: Simplify right side
    3,406.50x = 6,928,514.42
  5. Step 5: Solve for x
    x = 6,928,514.42/3,406.50
  6. Step 6: Final answer
    x = 2,033.91

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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.