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Finding the Fourth Proportional to 4,069.72, 6,105.03 and 1,604.21

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Solution

The fourth proportional to 4,069.72, 6,105.03 and 1,604.21 is: 2,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.72 : 6,105.03 = 1,604.21 : x
  2. Step 2: Convert to fraction form
    4,069.72/6,105.03 = 1,604.21/x
  3. Step 3: Cross multiply
    4,069.72x = 6,105.03 × 1,604.21
  4. Step 4: Simplify right side
    4,069.72x = 9,793,750.18
  5. Step 5: Solve for x
    x = 9,793,750.18/4,069.72
  6. Step 6: Final answer
    x = 2,406.49

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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.