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Finding the Fourth Proportional to 3,405, 5,107.50 and 1,096.50

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Solution

The fourth proportional to 3,405, 5,107.50 and 1,096.50 is: 1,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 5,107.50 = 1,096.50 : x
  2. Step 2: Convert to fraction form
    3,405/5,107.50 = 1,096.50/x
  3. Step 3: Cross multiply
    3,405x = 5,107.50 × 1,096.50
  4. Step 4: Simplify right side
    3,405x = 5,600,373.75
  5. Step 5: Solve for x
    x = 5,600,373.75/3,405
  6. Step 6: Final answer
    x = 1,644.75

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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.