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Finding the Fourth Proportional to 4,960.96, 7,441.58 and 1,958.90

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Solution

The fourth proportional to 4,960.96, 7,441.58 and 1,958.90 is: 2,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.96 : 7,441.58 = 1,958.90 : x
  2. Step 2: Convert to fraction form
    4,960.96/7,441.58 = 1,958.90/x
  3. Step 3: Cross multiply
    4,960.96x = 7,441.58 × 1,958.90
  4. Step 4: Simplify right side
    4,960.96x = 14,577,278.75
  5. Step 5: Solve for x
    x = 14,577,278.75/4,960.96
  6. Step 6: Final answer
    x = 2,938.40

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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.