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Finding the Fourth Proportional to 3,485.28, 4,799.76 and 3,262.86

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Solution

The fourth proportional to 3,485.28, 4,799.76 and 3,262.86 is: 4,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.28 : 4,799.76 = 3,262.86 : x
  2. Step 2: Convert to fraction form
    3,485.28/4,799.76 = 3,262.86/x
  3. Step 3: Cross multiply
    3,485.28x = 4,799.76 × 3,262.86
  4. Step 4: Simplify right side
    3,485.28x = 15,660,944.91
  5. Step 5: Solve for x
    x = 15,660,944.91/3,485.28
  6. Step 6: Final answer
    x = 4,493.45

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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.