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Finding the Fourth Proportional to 3,412.76, 5,119.31 and 1,073.00

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Solution

The fourth proportional to 3,412.76, 5,119.31 and 1,073.00 is: 1,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.76 : 5,119.31 = 1,073.00 : x
  2. Step 2: Convert to fraction form
    3,412.76/5,119.31 = 1,073.00/x
  3. Step 3: Cross multiply
    3,412.76x = 5,119.31 × 1,073.00
  4. Step 4: Simplify right side
    3,412.76x = 5,493,035.11
  5. Step 5: Solve for x
    x = 5,493,035.11/3,412.76
  6. Step 6: Final answer
    x = 1,609.56

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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.