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Finding the Fourth Proportional to 5,175.22, 7,760.94 and 1,887.34

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Solution

The fourth proportional to 5,175.22, 7,760.94 and 1,887.34 is: 2,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.22 : 7,760.94 = 1,887.34 : x
  2. Step 2: Convert to fraction form
    5,175.22/7,760.94 = 1,887.34/x
  3. Step 3: Cross multiply
    5,175.22x = 7,760.94 × 1,887.34
  4. Step 4: Simplify right side
    5,175.22x = 14,647,532.50
  5. Step 5: Solve for x
    x = 14,647,532.50/5,175.22
  6. Step 6: Final answer
    x = 2,830.32

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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.