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Finding the Fourth Proportional to 5,273.76, 7,277.52 and 3,036

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Solution

The fourth proportional to 5,273.76, 7,277.52 and 3,036 is: 4,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.76 : 7,277.52 = 3,036 : x
  2. Step 2: Convert to fraction form
    5,273.76/7,277.52 = 3,036/x
  3. Step 3: Cross multiply
    5,273.76x = 7,277.52 × 3,036
  4. Step 4: Simplify right side
    5,273.76x = 22,094,550.72
  5. Step 5: Solve for x
    x = 22,094,550.72/5,273.76
  6. Step 6: Final answer
    x = 4,189.53

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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.