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Finding the Fourth Proportional to 5,137.68, 7,701.39 and 2,175.78

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Solution

The fourth proportional to 5,137.68, 7,701.39 and 2,175.78 is: 3,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.68 : 7,701.39 = 2,175.78 : x
  2. Step 2: Convert to fraction form
    5,137.68/7,701.39 = 2,175.78/x
  3. Step 3: Cross multiply
    5,137.68x = 7,701.39 × 2,175.78
  4. Step 4: Simplify right side
    5,137.68x = 16,756,530.33
  5. Step 5: Solve for x
    x = 16,756,530.33/5,137.68
  6. Step 6: Final answer
    x = 3,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.