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Finding the Fourth Proportional to 3,414.03, 5,119.02 and 1,073.40

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Solution

The fourth proportional to 3,414.03, 5,119.02 and 1,073.40 is: 1,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.03 : 5,119.02 = 1,073.40 : x
  2. Step 2: Convert to fraction form
    3,414.03/5,119.02 = 1,073.40/x
  3. Step 3: Cross multiply
    3,414.03x = 5,119.02 × 1,073.40
  4. Step 4: Simplify right side
    3,414.03x = 5,494,756.07
  5. Step 5: Solve for x
    x = 5,494,756.07/3,414.03
  6. Step 6: Final answer
    x = 1,609.46

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1.5x scale

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.