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Finding the Fourth Proportional to 3,538.64, 5,309.40 and 3,444.56

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Solution

The fourth proportional to 3,538.64, 5,309.40 and 3,444.56 is: 5,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.64 : 5,309.40 = 3,444.56 : x
  2. Step 2: Convert to fraction form
    3,538.64/5,309.40 = 3,444.56/x
  3. Step 3: Cross multiply
    3,538.64x = 5,309.40 × 3,444.56
  4. Step 4: Simplify right side
    3,538.64x = 18,288,546.86
  5. Step 5: Solve for x
    x = 18,288,546.86/3,538.64
  6. Step 6: Final answer
    x = 5,168.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.