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Finding the Fourth Proportional to 5,185.10, 7,151.82 and 5,013.68

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Solution

The fourth proportional to 5,185.10, 7,151.82 and 5,013.68 is: 6,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.10 : 7,151.82 = 5,013.68 : x
  2. Step 2: Convert to fraction form
    5,185.10/7,151.82 = 5,013.68/x
  3. Step 3: Cross multiply
    5,185.10x = 7,151.82 × 5,013.68
  4. Step 4: Simplify right side
    5,185.10x = 35,856,936.90
  5. Step 5: Solve for x
    x = 35,856,936.90/5,185.10
  6. Step 6: Final answer
    x = 6,915.38

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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.