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Finding the Fourth Proportional to 3,441, 5,161.56 and 1,389

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Solution

The fourth proportional to 3,441, 5,161.56 and 1,389 is: 2,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441 : 5,161.56 = 1,389 : x
  2. Step 2: Convert to fraction form
    3,441/5,161.56 = 1,389/x
  3. Step 3: Cross multiply
    3,441x = 5,161.56 × 1,389
  4. Step 4: Simplify right side
    3,441x = 7,169,406.84
  5. Step 5: Solve for x
    x = 7,169,406.84/3,441
  6. Step 6: Final answer
    x = 2,083.52

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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.