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Finding the Fourth Proportional to 6,033.58, 8,315.93 and 4,013.38

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Solution

The fourth proportional to 6,033.58, 8,315.93 and 4,013.38 is: 5,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.58 : 8,315.93 = 4,013.38 : x
  2. Step 2: Convert to fraction form
    6,033.58/8,315.93 = 4,013.38/x
  3. Step 3: Cross multiply
    6,033.58x = 8,315.93 × 4,013.38
  4. Step 4: Simplify right side
    6,033.58x = 33,375,007.57
  5. Step 5: Solve for x
    x = 33,375,007.57/6,033.58
  6. Step 6: Final answer
    x = 5,531.55

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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.