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Finding the Fourth Proportional to 5,272.75, 7,276.71 and 2,914.84

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Solution

The fourth proportional to 5,272.75, 7,276.71 and 2,914.84 is: 4,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.75 : 7,276.71 = 2,914.84 : x
  2. Step 2: Convert to fraction form
    5,272.75/7,276.71 = 2,914.84/x
  3. Step 3: Cross multiply
    5,272.75x = 7,276.71 × 2,914.84
  4. Step 4: Simplify right side
    5,272.75x = 21,210,445.38
  5. Step 5: Solve for x
    x = 21,210,445.38/5,272.75
  6. Step 6: Final answer
    x = 4,022.65

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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.