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Finding the Fourth Proportional to 5,370, 7,410.64 and 3,273.76

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Solution

The fourth proportional to 5,370, 7,410.64 and 3,273.76 is: 4,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 7,410.64 = 3,273.76 : x
  2. Step 2: Convert to fraction form
    5,370/7,410.64 = 3,273.76/x
  3. Step 3: Cross multiply
    5,370x = 7,410.64 × 3,273.76
  4. Step 4: Simplify right side
    5,370x = 24,260,656.81
  5. Step 5: Solve for x
    x = 24,260,656.81/5,370
  6. Step 6: Final answer
    x = 4,517.81

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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.