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Finding the Fourth Proportional to 5,175.06, 7,755.60 and 3,711

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Solution

The fourth proportional to 5,175.06, 7,755.60 and 3,711 is: 5,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.06 : 7,755.60 = 3,711 : x
  2. Step 2: Convert to fraction form
    5,175.06/7,755.60 = 3,711/x
  3. Step 3: Cross multiply
    5,175.06x = 7,755.60 × 3,711
  4. Step 4: Simplify right side
    5,175.06x = 28,781,031.60
  5. Step 5: Solve for x
    x = 28,781,031.60/5,175.06
  6. Step 6: Final answer
    x = 5,561.49

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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.