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Finding the Fourth Proportional to 3,581.06, 5,371.67 and 1,389.66

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Solution

The fourth proportional to 3,581.06, 5,371.67 and 1,389.66 is: 2,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.06 : 5,371.67 = 1,389.66 : x
  2. Step 2: Convert to fraction form
    3,581.06/5,371.67 = 1,389.66/x
  3. Step 3: Cross multiply
    3,581.06x = 5,371.67 × 1,389.66
  4. Step 4: Simplify right side
    3,581.06x = 7,464,770.45
  5. Step 5: Solve for x
    x = 7,464,770.45/3,581.06
  6. Step 6: Final answer
    x = 2,084.51

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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.