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Finding the Fourth Proportional to 3,904.96, 5,859.76 and 1,441.52

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Solution

The fourth proportional to 3,904.96, 5,859.76 and 1,441.52 is: 2,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.96 : 5,859.76 = 1,441.52 : x
  2. Step 2: Convert to fraction form
    3,904.96/5,859.76 = 1,441.52/x
  3. Step 3: Cross multiply
    3,904.96x = 5,859.76 × 1,441.52
  4. Step 4: Simplify right side
    3,904.96x = 8,446,961.24
  5. Step 5: Solve for x
    x = 8,446,961.24/3,904.96
  6. Step 6: Final answer
    x = 2,163.14

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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.