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Finding the Fourth Proportional to 5,272.20, 7,273.68 and 3,033

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Solution

The fourth proportional to 5,272.20, 7,273.68 and 3,033 is: 4,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.20 : 7,273.68 = 3,033 : x
  2. Step 2: Convert to fraction form
    5,272.20/7,273.68 = 3,033/x
  3. Step 3: Cross multiply
    5,272.20x = 7,273.68 × 3,033
  4. Step 4: Simplify right side
    5,272.20x = 22,061,071.44
  5. Step 5: Solve for x
    x = 22,061,071.44/5,272.20
  6. Step 6: Final answer
    x = 4,184.41

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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.