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Finding the Fourth Proportional to 3,470, 5,205 and 1,161.56

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Solution

The fourth proportional to 3,470, 5,205 and 1,161.56 is: 1,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 5,205 = 1,161.56 : x
  2. Step 2: Convert to fraction form
    3,470/5,205 = 1,161.56/x
  3. Step 3: Cross multiply
    3,470x = 5,205 × 1,161.56
  4. Step 4: Simplify right side
    3,470x = 6,045,919.80
  5. Step 5: Solve for x
    x = 6,045,919.80/3,470
  6. Step 6: Final answer
    x = 1,742.34

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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.