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Finding the Fourth Proportional to 3,933.72, 5,883.12 and 3,497.76

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Solution

The fourth proportional to 3,933.72, 5,883.12 and 3,497.76 is: 5,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.72 : 5,883.12 = 3,497.76 : x
  2. Step 2: Convert to fraction form
    3,933.72/5,883.12 = 3,497.76/x
  3. Step 3: Cross multiply
    3,933.72x = 5,883.12 × 3,497.76
  4. Step 4: Simplify right side
    3,933.72x = 20,577,741.81
  5. Step 5: Solve for x
    x = 20,577,741.81/3,933.72
  6. Step 6: Final answer
    x = 5,231.12

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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.