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Finding the Fourth Proportional to 5,273.64, 7,277.10 and 3,004.92

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Solution

The fourth proportional to 5,273.64, 7,277.10 and 3,004.92 is: 4,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.64 : 7,277.10 = 3,004.92 : x
  2. Step 2: Convert to fraction form
    5,273.64/7,277.10 = 3,004.92/x
  3. Step 3: Cross multiply
    5,273.64x = 7,277.10 × 3,004.92
  4. Step 4: Simplify right side
    5,273.64x = 21,867,103.33
  5. Step 5: Solve for x
    x = 21,867,103.33/5,273.64
  6. Step 6: Final answer
    x = 4,146.49

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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.