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Finding the Fourth Proportional to 3,641.76, 5,472 and 2,103.84

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Solution

The fourth proportional to 3,641.76, 5,472 and 2,103.84 is: 3,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.76 : 5,472 = 2,103.84 : x
  2. Step 2: Convert to fraction form
    3,641.76/5,472 = 2,103.84/x
  3. Step 3: Cross multiply
    3,641.76x = 5,472 × 2,103.84
  4. Step 4: Simplify right side
    3,641.76x = 11,512,212.48
  5. Step 5: Solve for x
    x = 11,512,212.48/3,641.76
  6. Step 6: Final answer
    x = 3,161.17

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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.