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Finding the Fourth Proportional to 3,149.94, 4,724.89 and 958.67

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Solution

The fourth proportional to 3,149.94, 4,724.89 and 958.67 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.94 : 4,724.89 = 958.67 : x
  2. Step 2: Convert to fraction form
    3,149.94/4,724.89 = 958.67/x
  3. Step 3: Cross multiply
    3,149.94x = 4,724.89 × 958.67
  4. Step 4: Simplify right side
    3,149.94x = 4,529,610.30
  5. Step 5: Solve for x
    x = 4,529,610.30/3,149.94
  6. Step 6: Final answer
    x = 1,438.00

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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.