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Finding the Fourth Proportional to 5,175.22, 7,141.94 and 3,050.94

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Solution

The fourth proportional to 5,175.22, 7,141.94 and 3,050.94 is: 4,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.22 : 7,141.94 = 3,050.94 : x
  2. Step 2: Convert to fraction form
    5,175.22/7,141.94 = 3,050.94/x
  3. Step 3: Cross multiply
    5,175.22x = 7,141.94 × 3,050.94
  4. Step 4: Simplify right side
    5,175.22x = 21,789,630.42
  5. Step 5: Solve for x
    x = 21,789,630.42/5,175.22
  6. Step 6: Final answer
    x = 4,210.38

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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.