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Finding the Fourth Proportional to 5,270.40, 7,273.26 and 3,033

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Solution

The fourth proportional to 5,270.40, 7,273.26 and 3,033 is: 4,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.40 : 7,273.26 = 3,033 : x
  2. Step 2: Convert to fraction form
    5,270.40/7,273.26 = 3,033/x
  3. Step 3: Cross multiply
    5,270.40x = 7,273.26 × 3,033
  4. Step 4: Simplify right side
    5,270.40x = 22,059,797.58
  5. Step 5: Solve for x
    x = 22,059,797.58/5,270.40
  6. Step 6: Final answer
    x = 4,185.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.