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Finding the Fourth Proportional to 3,958.88, 5,462.78 and 2,280.83

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Solution

The fourth proportional to 3,958.88, 5,462.78 and 2,280.83 is: 3,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.88 : 5,462.78 = 2,280.83 : x
  2. Step 2: Convert to fraction form
    3,958.88/5,462.78 = 2,280.83/x
  3. Step 3: Cross multiply
    3,958.88x = 5,462.78 × 2,280.83
  4. Step 4: Simplify right side
    3,958.88x = 12,459,672.51
  5. Step 5: Solve for x
    x = 12,459,672.51/3,958.88
  6. Step 6: Final answer
    x = 3,147.27

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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.