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Finding the Fourth Proportional to 5,175.89, 7,125.26 and 4,677

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Solution

The fourth proportional to 5,175.89, 7,125.26 and 4,677 is: 6,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.89 : 7,125.26 = 4,677 : x
  2. Step 2: Convert to fraction form
    5,175.89/7,125.26 = 4,677/x
  3. Step 3: Cross multiply
    5,175.89x = 7,125.26 × 4,677
  4. Step 4: Simplify right side
    5,175.89x = 33,324,841.02
  5. Step 5: Solve for x
    x = 33,324,841.02/5,175.89
  6. Step 6: Final answer
    x = 6,438.48

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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.