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Finding the Fourth Proportional to 3,846.47, 5,769.76 and 1,073.08

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Solution

The fourth proportional to 3,846.47, 5,769.76 and 1,073.08 is: 1,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.47 : 5,769.76 = 1,073.08 : x
  2. Step 2: Convert to fraction form
    3,846.47/5,769.76 = 1,073.08/x
  3. Step 3: Cross multiply
    3,846.47x = 5,769.76 × 1,073.08
  4. Step 4: Simplify right side
    3,846.47x = 6,191,414.06
  5. Step 5: Solve for x
    x = 6,191,414.06/3,846.47
  6. Step 6: Final answer
    x = 1,609.64

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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.