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Finding the Fourth Proportional to 4,170.84, 5,760.39 and 3,237.91

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Solution

The fourth proportional to 4,170.84, 5,760.39 and 3,237.91 is: 4,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.84 : 5,760.39 = 3,237.91 : x
  2. Step 2: Convert to fraction form
    4,170.84/5,760.39 = 3,237.91/x
  3. Step 3: Cross multiply
    4,170.84x = 5,760.39 × 3,237.91
  4. Step 4: Simplify right side
    4,170.84x = 18,651,624.38
  5. Step 5: Solve for x
    x = 18,651,624.38/4,170.84
  6. Step 6: Final answer
    x = 4,471.91

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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.