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Finding the Fourth Proportional to 3,149.72, 4,724.82 and 958.62

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Solution

The fourth proportional to 3,149.72, 4,724.82 and 958.62 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.72 : 4,724.82 = 958.62 : x
  2. Step 2: Convert to fraction form
    3,149.72/4,724.82 = 958.62/x
  3. Step 3: Cross multiply
    3,149.72x = 4,724.82 × 958.62
  4. Step 4: Simplify right side
    3,149.72x = 4,529,306.95
  5. Step 5: Solve for x
    x = 4,529,306.95/3,149.72
  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.