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Finding the Fourth Proportional to 4,106.88, 5,661.36 and 3,219.84

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Solution

The fourth proportional to 4,106.88, 5,661.36 and 3,219.84 is: 4,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.88 : 5,661.36 = 3,219.84 : x
  2. Step 2: Convert to fraction form
    4,106.88/5,661.36 = 3,219.84/x
  3. Step 3: Cross multiply
    4,106.88x = 5,661.36 × 3,219.84
  4. Step 4: Simplify right side
    4,106.88x = 18,228,673.38
  5. Step 5: Solve for x
    x = 18,228,673.38/4,106.88
  6. Step 6: Final answer
    x = 4,438.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.