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Finding the Fourth Proportional to 5,276.32, 7,914.49 and 3,627.88

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Solution

The fourth proportional to 5,276.32, 7,914.49 and 3,627.88 is: 5,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.32 : 7,914.49 = 3,627.88 : x
  2. Step 2: Convert to fraction form
    5,276.32/7,914.49 = 3,627.88/x
  3. Step 3: Cross multiply
    5,276.32x = 7,914.49 × 3,627.88
  4. Step 4: Simplify right side
    5,276.32x = 28,712,791.13
  5. Step 5: Solve for x
    x = 28,712,791.13/5,276.32
  6. Step 6: Final answer
    x = 5,441.82

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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.