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Finding the Fourth Proportional to 5,874.53, 8,106.82 and 3,357.41

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Solution

The fourth proportional to 5,874.53, 8,106.82 and 3,357.41 is: 4,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.53 : 8,106.82 = 3,357.41 : x
  2. Step 2: Convert to fraction form
    5,874.53/8,106.82 = 3,357.41/x
  3. Step 3: Cross multiply
    5,874.53x = 8,106.82 × 3,357.41
  4. Step 4: Simplify right side
    5,874.53x = 27,217,930.41
  5. Step 5: Solve for x
    x = 27,217,930.41/5,874.53
  6. Step 6: Final answer
    x = 4,633.21

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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.