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Finding the Fourth Proportional to 5,272.56, 7,276.08 and 2,914.80

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Solution

The fourth proportional to 5,272.56, 7,276.08 and 2,914.80 is: 4,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.56 : 7,276.08 = 2,914.80 : x
  2. Step 2: Convert to fraction form
    5,272.56/7,276.08 = 2,914.80/x
  3. Step 3: Cross multiply
    5,272.56x = 7,276.08 × 2,914.80
  4. Step 4: Simplify right side
    5,272.56x = 21,208,317.98
  5. Step 5: Solve for x
    x = 21,208,317.98/5,272.56
  6. Step 6: Final answer
    x = 4,022.39

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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.